Question

area, volume and capacity
topic 2: area of a rectangle
question 1 find the area of the following rectangles.
question 2 find the area of each of the following rectangles whose length and breadth are given.
question 3 complete the following.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = l\times b\), where \(l\) is the length and \(b\) is the breadth.

Step2: Solve Question 1a

For the rectangle in 1a with \(l = 7m\) and \(b=3m\), \(A=7\times3 = 21m^{2}\).

Step3: Solve Question 1b

For the rectangle in 1b with \(l = 8cm\) and \(b = 5cm\), \(A=8\times5=40cm^{2}\).

Step4: Solve Question 1c

For the rectangle in 1c with \(l = 30cm\) and \(b = 6cm\), \(A=30\times6 = 180cm^{2}\).

Step5: Solve Question 1d

For the rectangle in 1d with \(l = 11m\) and \(b = 5m\), \(A=11\times5=55m^{2}\).

Step6: Solve Question 1e

For the rectangle in 1e with \(l = 20mm\) and \(b = 14mm\), \(A=20\times14 = 280mm^{2}\).

Step7: Solve Question 1f

For the rectangle in 1f with \(l = 12cm\) and \(b = 4cm\), \(A=12\times4=48cm^{2}\).

Step8: Solve Question 2a

For \(l = 9cm\) and \(b = 7cm\), \(A=9\times7 = 63cm^{2}\).

Step9: Solve Question 2b

For \(l = 12cm\) and \(b = 3cm\), \(A=12\times3=36cm^{2}\).

Step10: Solve Question 2c

For \(l = 14m\) and \(b = 5m\), \(A=14\times5 = 70m^{2}\).

Step11: Solve Question 2d

For \(l = 11mm\) and \(b = 6mm\), \(A=11\times6=66mm^{2}\).

Step12: Solve Question 2e

For \(l = 8m\) and \(b = 3m\), \(A=8\times3 = 24m^{2}\).

Step13: Solve Question 2f

For \(l = 10m\) and \(b = 6m\), \(A=10\times6=60m^{2}\).

Step14: Solve Question 2g

For \(l = 15cm\) and \(b = 8cm\), \(A=15\times8 = 120cm^{2}\).

Step15: Solve Question 2h

For \(l = 25mm\) and \(b = 6mm\), \(A=25\times6=150mm^{2}\).

Step16: Solve Question 2i

For \(l = 20cm\) and \(b = 7cm\), \(A=20\times7 = 140cm^{2}\).

Step17: Solve Question 2j

For \(l = 16cm\) and \(b = 10cm\), \(A=16\times10=160cm^{2}\).

Step18: Solve Question 3a

For \(l = 6m\) and \(b = 5m\), \(A=6\times5 = 30m^{2}\).

Step19: Solve Question 3b

Given \(l = 8cm\) and \(A = 32cm^{2}\), \(b=\frac{A}{l}=\frac{32}{8}=4cm\).

Step20: Solve Question 3c

For \(l = 18cm\) and \(b = 4cm\), \(A=18\times4 = 72cm^{2}\).

Step21: Solve Question 3d

Given \(l = 12cm\) and \(A = 84cm^{2}\), \(b=\frac{A}{l}=\frac{84}{12}=7cm\).

Step22: Solve Question 3e

Given \(l = 21m\) and \(A = 105m^{2}\), \(b=\frac{A}{l}=\frac{105}{21}=5m\).

Step23: Solve Question 3f

Given \(l = 13m\) and \(A = 65m^{2}\), \(b=\frac{A}{l}=\frac{65}{13}=5m\).

Step24: Solve Question 3g

For \(l = 14cm\) and \(b = 8cm\), \(A=14\times8 = 112cm^{2}\).

Step25: Solve Question 3h

Given \(b = 9cm\) and \(A = 99cm^{2}\), \(l=\frac{A}{b}=\frac{99}{9}=11cm\).

Step26: Solve Question 3i

Given \(l = 28mm\) and \(A = 140mm^{2}\), \(b=\frac{A}{l}=\frac{140}{28}=5mm\).

Step27: Solve Question 3j

Given \(b = 20cm\) and \(A = 700cm^{2}\), \(l=\frac{A}{b}=\frac{700}{20}=35cm\).

Answer:

1a. \(21m^{2}\); 1b. \(40cm^{2}\); 1c. \(180cm^{2}\); 1d. \(55m^{2}\); 1e. \(280mm^{2}\); 1f. \(48cm^{2}\); 2a. \(63cm^{2}\); 2b. \(36cm^{2}\); 2c. \(70m^{2}\); 2d. \(66mm^{2}\); 2e. \(24m^{2}\); 2f. \(60m^{2}\); 2g. \(120cm^{2}\); 2h. \(150mm^{2}\); 2i. \(140cm^{2}\); 2j. \(160cm^{2}\); 3a. \(30m^{2}\); 3b. \(4cm\); 3c. \(72cm^{2}\); 3d. \(7cm\); 3e. \(5m\); 3f. \(5m\); 3g. \(112cm^{2}\); 3h. \(11cm\); 3i. \(5mm\); 3j. \(35cm\)