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A rectangular field has the sides in the ratio of 3 : 4. The area of the field is 300 m2\text{m}^2m2​. The length and the breadth of the field are:
Question

A rectangular field has the sides in the ratio of 3 : 4. The area of the field is 300 m2\text{m}^2​. The length and the breadth of the field are:

A.

12 m, 18 m

B.

15 m, 25 m

C.

10 m, 5 m

D.

20 m, 15 m

Correct option is D

Given:

Ratio of length to breadth = 3:4

Area of the rectangular field = 300 m²

Concept Used:

Area = Length ×\times​ Breadth

Solution:

Let the Length be 3x and the breadth be 4x

3x × 4x = 300

12x2^2 = 300

x2^2 = 25

x = 5

Length = 3 × 5 = 15 m

Breadth = 4× 5  = 20 m

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