Question

Pls help me
The ratio of the length and the breath of a rectangle is 4 : 3 and its area is 108 sq. cm. Find its length.​

Answer 1

Width is 9 cm
Length is 12 cm

A = L x W = 108 cm2
W/L = 3/4
W = 3/4*L
So

A = L * 3/4L
108 = 3/4L2
Divide both sides by 3/4: multiply both sides by the inverse of 3/4 or 4/3.
(4/3)*108 = L2
144 = L2
√144 = L
12 = L
W = 3/4*12
W = 9

Checking
A = 108 = 9 x 12 = 108
W/L = 3/4 = 9/12 = 3/4

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Answer 2

Answer:

Step-by-step explanation:

Length and Breadth are 4 : 3.

& area of the rectangle is 108 cm².

Let's Consider that the Length and Breadth of the rectangle be 4x and 3x.

Area of rect. = Length × Breadth

↠⠀⠀108 = 4x × 3x

↠⠀⠀108 = 12x²

↠⠀⠀x² = ¹⁰⁸⁄₁₂

↠⠀⠀x² = 9

↠⠀⠀x = √9

↠⠀⠀x = 3

Therefore,

Length of the rectangle, 4n = 4(3) = 12

The breadth of the rectangle, 3n = 3(3) = 9