Question

If the breath is 3 times more than the length and the perimeter is 88 find the area

Answer 1

Area of the rectangle is 363 unit²

Step-by-step explanation:

Question :- If the breath of the rectangle is 3 times more than the length and the perimeter is 88 find the area of the rectangle.

Given :-

• breath is 3 times more than the length .
• perimeter of the rectangle is 88 .

To find :-

• Area of the rectangle .

Formula used :-

Perimeter of Rectangle = 2( Length + Breadth )

Area of Rectangle = Length × Breadth .

Solution :-

Let Length of the rectangle = x unit .

So, breadth of the rectangle = 3x unit .

Perimeter of the rectangle = 2( Length + Breadth )

So,

88 = 2( x + 3x )

88 = 2 × 4x

88 = 8x

x = 88/8

x = 11

So, Length of rectangle = 11 unit .

∵ Breadth of the rectangle is 3 times of Length

∴ Breadth = 3 × 11

= 33 unit

Therefore,

Area of Rectangle = Length × Breadth

= 11 × 33

= 363 unit²

Hence, Area of the rectangle is 363 unit²