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2.9 Perimeter Word Prob 1 A

This document provides examples of calculating the areas of various shapes including rectangles, parallelograms, triangles, trapezoids, and squares. The areas are calculated using the appropriate area formulas. Additional challenge problems require calculating missing lengths based on given area values.

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Aarti Padia
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285 views2 pages

2.9 Perimeter Word Prob 1 A

This document provides examples of calculating the areas of various shapes including rectangles, parallelograms, triangles, trapezoids, and squares. The areas are calculated using the appropriate area formulas. Additional challenge problems require calculating missing lengths based on given area values.

Uploaded by

Aarti Padia
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Area Answers

Your Turn
Don’t forget to include the units of measurement with your answers. None of the diagrams are
drawn accurately.

1. Calculate the area of the rectangle. 5. Calculate the area of the parallelogram.

2cm 6cm 4cm

6.5cm
9cm
2
6.5 × 2 = 13cm
2
9 × 4 = 36cm

2. Calculate the area of the parallelogram.


6. Calculate the area of the square.

11cm

5cm 7cm

2
11 × 5 = 55cm

2
7 × 7 = 49cm
3. Calculate the area of the triangle.

7. The area of the rectangle is 45mm2.


Calculate the missing value of the width
4cm marked xmm.

8cm
xmm
1 2
2 × 8 × 4 = 16cm

7.5mm
4. Calculate the area of the trapezium.

4cm 45 ÷ 7.5 = 6mm

3cm

7cm

1 2
2 × (4 + 7) × 3 = 16.5cm

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Area Answers

Challenge
8. The area of the parallelogram is 112m2. a. The perimeter of the rectangle is 23cm.
Calculate the missing value of the Calculate its area.
perpendicular height marked xm.
(Remember: perpendicular lines meet at
90° to one another).
8cm

23 – 8 – 8 = 7
xm
7 ÷ 2 = 3.5cm
2
8 × 3.5 = 28cm
11.2m

112 ÷ 11.2 = 10m b. Calculate the perpendicular height (h) of


the triangle. (Remember: perpendicular
lines meet at 90° to one another).
9. Calculate the area of a square which has a
side length of 5.5cm. Area = 57cm2
2
h
5.5 × 5.5 = 30.25cm
12cm

10. Calculate the area of the triangle. 1


2 × 12 × h = 57

6 × h = 57
5cm
3cm h = 9.5cm

4cm
c. Calculate the missing measurement
1 2
2 × 3 × 4 = 6cm marked bcm.

3cm

11. The area of a rectangle is 52cm2. If the 6cm Area = 24cm2


length is 13cm, calculate its width.
bcm
52 ÷ 13 = 4cm
1
2 × (3 + b) × 6 = 24
12. The area of a square is 100cm2. Calculate 3 × (3 + b) = 24
the length of one side.
3+b=8
100 = 10cm
b = 5cm

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