Grade 6 / perimeters 22 exercises (100% corrected)

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AB1u ACB1u ABCDEFGHxxyy0011 ABCD5;5cm2;4cmEFGHIJK4cm5cm3cm2;5cm ChingQuizz : 1 exercise available for Quizz assessment : 1. Perimeters: first notions E.10242 Determine the perimeter of each of the shaded figures shown below : E.2594 Determine the perimeter of each of the shaded figures shown below : E.5584 Consider the two quadrilaterals ABCD and EFGH and the two graduated lines ( xx ) and ( yy ) shown below : 1 a Plot the perimeter of the quadrilateral ABCD on the graduated line ( xx ) . b Transfer the perimeter of the quadrilateral EFGH to the graduated line ( yy ) . 2 Which of these two quadrilaterals has the greater perime-ter? E.5580 Of the two figures below, which one has the larger perimeter? 2. Perimeter and rectangles E.2611 Shown below are two polygons ABCD and EFGHIJ where the quadrilaterals ABCD , EFKJ and GHIK are three rectangles. Determine the perimeters of the two shaded polygons shown above. https://chingmath.fr chapExoCorrec/10242 sacados/10242 AB1u chapExoCorrec/2594 sacados/2594 ACB1u chapExoCorrec/5584 sacados/5584 ABCDEFGHxxyy0011 chapExoCorrec/5580 sacados/5580 chapExoCorrec/2611 sacados/2611 ABCD5;5cm2;4cmEFGHIJK4cm5cm3cm2;5cm
700m400m500m1kmAB ABCDEFGH8cm4cm2cm4cm ABCD2;5cmEFGH3cm C1O2cmC2P3,5kmC3Q1,2mm 3cmCA10cmCB E.1685 In the Lembrouille family, the father left his children a rectangular field to cultivate... The two brothers, A rthur and B oris, don’t get along, so they decide to divide the field into two parts. Here’s how they di-vided it up : Each of them wishes to fence off their entire field. Determine the length of each of their fences. E.10320 Consider the polygon ABCHGFED shown below where : ABCD is a rectangle of dimensions 8 cm and 4 cm ; EFGH is a square whose side measures 2 cm ; in addition, we have the distance : CH =4 cm Determine the perimeter of the polygon ABCHGFED . 3. Perimeters and quadrilaterals E.5583 We consider the two figures below : 1 a What is the nature of the quadrilateral ABCD ? b Determine the perimeter of the quadrilateral ABCD . 2 a What is the nature of the quadrilateral EFGH ? b Determine the perimeter of the quadrilateral EFGH . 4. Circles and circumferences E.6703 Determine the circumference of the circles below rounded to the nearest chosen unit. The approx-imate value ı ≈ 3.14 : E.6704 Below are shown : the semicircle C with center A and diameter 3 cm the quarter circle C with center B and radius 10 m Determine the circumferences of each of these figures rounded to the nearest millimeter. Hints: use the approximate value of the number ı : ı ≈ 3 ; 1416 https://chingmath.fr chapExoCorrec/1685 sacados/1685 700m400m500m1kmAB chapExoCorrec/10320 sacados/10320 ABCDEFGH8cm4cm2cm4cm chapExoCorrec/5583 sacados/5583 ABCD2;5cmEFGH3cm chapExoCorrec/6703 sacados/6703 C1O2cmC2P3,5kmC3Q1,2mm chapExoCorrec/6704 sacados/6704 3cmCA10cmCB
ABO ABCD ABCDIJ200m70m 2m2;6m1;4m1;7mOABCDEFGH E.1676 We often represent the Earth as a sphere and the equator as a circle of radius 6 370 km . 1 Calculate the length of the equator using respectively: a 3.14 for the value of ı ; b 3.1416 for value of ı . 2 Give the difference between the two lengths found. E.1683 The robot ˇ Déglingué ı can only move with half-circle trajectories. To move from A to B dis-tant 10 m , it proposes the following two trajectories : Hint: we’ll use : ı ≈ 3.14 lengths should be rounded to the nearest decimetre. 1 a Calculate the length of these two trajectories. b Which is the shorter length? 2 Imagine the trajectory taken by the robot when it joins the points A and B with four semicircles. Can we con-jecture the length of this new trajectory? E.1682 Le turn of the shaded figure is composed of four quarter circles whose centers are re-spectively the vertices of the square ABCD such that : AB =7.2 cm . 1 Reproduce the full-size figure on your sheet. 2 Calculate the perimeter of this figure, a value ap-proximated to the near-est millimetre, taking ı ≈ 3.14 . 5. Circles and perimeters E.1680 An athletics track is made up of a rectangle and two semicircles: A runner decides to circle the track below three times. Calculate the distance D covered by this runner. Hints: we’ll use : ı ≈ 3.142 lengths should be rounded to the nearest decimetre. E.1684 We want to decorate the perimeter of a door with a string of lights (shown as a dotted line in the diagram) . What is the minimum length of string lights needed to go all the way around the door? Instructions: We will use : ı ≈ 3 ; 14 . The length of the string lights will be rounded to the nearest decimeter. https://chingmath.fr chapExoCorrec/1676 sacados/1676 chapExoCorrec/1683 sacados/1683 ABO chapExoCorrec/1682 sacados/1682 ABCD chapExoCorrec/1680 sacados/1680 ABCDIJ200m70m chapExoCorrec/1684 sacados/1684 2m2;6m1;4m1;7mOABCDEFGH
ABCDI5m2mC ABCDMNC1C2 ABCDIO ABCDOPC1C2C3 12cm4cm ABCDPABCDPMNPPMNQMNPQ E.10321 Consider the figure below composed of the rectangle ABCD of dimensions 5 m and 2 m and the semicircle C admitting the segment [ BC ] for diameter. Determine the perimeter of this figure. Hint: we will use the approximate value ı ≈ 3 ; 14 . E.10853 Consider the shaded figure below, which is composed of the square ABCD and the two quarter circles C 1 and C 2 : We give the measure of segment [ MN ] : MN = 13.2 cm 1 Justify that : AB = 4.4 cm 2 Give the characteristics of the quarter-circle C 1 and the quarter-circle C 2 . 3 Taking ı ≈ 3.142 , determine the perimeter of this figure rounded to the nearest millimetre. E.1677 The figure opposite is composed of : of a square ABCD of side 2.4 cm of three semicircles of respective diameters [ AB ] , [ DO ] and [ OC ] . Determine the value of the perimeter of this figure rounded to the nearest millimetre. Indication : we will use : ı ≈ 3.14 . E.1678 The following figure is com-posed of two segments and three semicircles such that : AD =3 cm ; AB =4 cm 1 Give the measure of the radii of the circles C 1 , C 2 et C 3 . 2 Give the value of the perimeter of this figure rounded to the nearest millimetre. Indication : we’ll use : ı ≈ 3.14 E.11128 A square with sides of length 10 cm has been " trimmed "by quarter disks or half disks. Determine the perimeter of this figure. Hint: use ı ≈ 3 ; 14 and round the measurements to the near-est millimeter. 6. Around triangles of the same perimeter E.10799 Consider the quadrilateral ABCD , the segment [ MN ] , and the points P and Q shown below : https://chingmath.fr chapExoCorrec/10321 sacados/10321 ABCDI5m2mC chapExoCorrec/10853 sacados/10853 ABCDMNC1C2 chapExoCorrec/1677 sacados/1677 ABCDIO chapExoCorrec/1678 sacados/1678 ABCDOPC1C2C3 chapExoCorrec/11128 sacados/11128 12cm4cm chapExoCorrec/10799 sacados/10799 ABCDPABCDPMNPPMNQMNPQ
ABCDEFGH 1 Using a compass, transfer the perimeter of the quadrilat-eral ABCD to the line above. a Draw the triangle MNP and transfer its length to the line above. b Draw triangle MNQ and transfer its length to the line above. c Check that triangles MNP and MNQ have the same perimeter as quadrilateral ABCD . E.10854 Consider the three segments [ AB ] , [ DE ] , [ GH ] and the two points C and F below : The ruler should not be used in this exercise. 1 Compare the three lengths AB , DE , GH . 2 Compare the perimeters of the two triangles ABC and DEF . 3 Place a point I so that the perimeter of triangle DEF and the perimeter of triangle GHI are equal. Note: you can use the line below to transfer and compare the lengths : https://chingmath.fr chapExoCorrec/10854 sacados/10854 ABCDEFGH