Question

The area of a rectangle is 1936 square meter.If the length of the rectangle is 4times its breadth , find the dimensions of the rectangle

Answer 1

4x^2=1936

x^2=1936/4=484

x=root of 484=22

length=4x22=88

breadth=44

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Answer 2

Given:

• Area of a rectangle is 1936 sq meters.
• Length of the rectangle is 4 times its breadth.

AnSwer:

★ l = 4b (given)

ATQ,

$\implies \sf \: \: Area \: of \: rectangle =length \times breadth \\ \\ \implies \sf \: \:1936 {m}^{2} = 4x \times x \\ \\ \implies \sf \: \:{x}^{2} = \dfrac{1936}{4} \\ \\ \implies \sf \: \:{x}^{2} = 484 \\ \\ \implies \sf \: \: x =\sqrt{484} \\ \\ \implies \sf \: \:x = 22 cm$

The dimension of rectangle, that is, length = 4b = 4(22) =88m.

• Length = 88m
• Breadth = 22m

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