Question

Work out the area of a rectangle with base, b=28mm and perimeter, P=74mm.

Answer 1

Given:

• Base,b= 28 mm
• Perimeter,P= 74 mm

To find out:

the area of a rectangle?

Formula used:

• Perimeter of rectangle = 2(l+b)
• Area of rectangle = length × breadth

Solution:

We know that ,

Perimeter of rectangle = 2(l+b)

74= 2(l+28)

74=2l +56

2l=74-56

2l=18

length, l= 9

Now,

Area of rectangle = length × breadth

= 9 × 28

= 252 mm²

Answer 2

Answer:

$28 \times 2 =5 6 \\ 74 - 56 = 18 \\ 18 \div 2 = 9 \\ width = 9 \\ area = 9 \times 28 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 252mm ^{2}$