Question

2. The ratio between the length and the width of a rectangle is 4 : 3. Its
perimeter is 112 cm. What is the area of the rectangle ?
(a) 748 cm2
(b) 768 cm2
(c) 680 cm2
(d) 840 cm2
(e) None of these (Union Bank Clerk 2010)

pls explain too. ​

Answer 1

Answer:

(b) 768 $cm^2$

Step-by-step explanation:

Let the ratio be 4x : 3x.

Perimeter = 2(l+b)

Given perimeter = 112 cm

=> 2(4x+3x) = 112

=> 7x = 112/2

=> 7x = 56

=> x = 8

Hence, the length and breadth are 32cm and 24cm respectively.

Area of rectangle = l * b = 32 * 24 $cm^2$ = 768 $cm^2$

Answer 2

Answer :

768cm² ans.

Explanation :

Let the length and the breadth is 4x and 3x respectively.

Perimeter of rectangle : 2(l + b)

=> 112 = 2(4x + 3x)

=> 112 = 2(7x)

=> 112 = 14x

=> x = 112/14

=> x = 8cm

Hence,

Length = 4x = 4 × 8 = 32cm

Breadth = 3x = 3 × 8 = 24cm.

Area of a rectangle = (l × b)

= 32 × 24

= 768cm² ans.