Question

Work out the area of a rectangle with base, b = 16mm and perimeter, P = 50mm.
​

Answer 1

Answer:

$16 \times 2 = 32 \\ 50 - 32 = 18 \\ width = 18 \div 2 = 9 \\ area = 9 \times 16 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 144 {mm}^{2}$

Answer 2

Given:

• Base,b= 16 mm
• Perimeter, P =50mm

To find out:

the area of a rectangle?

Formula used:

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

Solution:

Perimeter of rectangle = 2(l+b)

50 = 2l+2×16

50=2l+32

2l=50-32

2l=18

l=9

Now,

Area of rectangle = length × breadth

= 9 × 16

= 144 mm²