Question

Rajesh has a rectangular garden 10 m wide. He spent rupees 288 to fence it at rupees 8 per
metre. What is the area of the garden?
(A) 80 m
(B) 82 m
(C) 26 m
(D) 62 m​

Answer 1

Answer:

The area of the rectangle is 80 m².

Step-by-step explanation:

Given :

Width = 10 m

Cost of fencing = Rs. 288

Rate of fencing = Rs. 8 per m

To find :

The area of the rectangle

Solution :

$\textsf{\underline{\underline{Perimeter of the rectangle =}}}$

Divide the Cost of fencing by the rate of fencing to get the perimeter of the rectangle.

⇒ 288 ÷ 8

⇒ 36 m

Perimeter of the rectangle = 36 m

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Length of the rectangle = }}}$

Consider the length as y

★ Perimeter = 2(Length + Width)

⇒ 2(y + 10) = 36

⇒ 2y + 20 = 36

⇒ 2y = 16

⇒ y = 16 ÷ 2

⇒ y = 8

Length of the rectangle is 8 m

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Area of the rectangle =}}}$

★ Area = Length × Width

⇒ 8 × 10

⇒ 80 m²

$\therefore$ The area of the rectangle is 80 m².