The area of a rectangle shaped page is equal to the area of a square shaped letter pad of 14 m side ...........

Quantitative Aptitude (CDS) Mensuration 2D

The area of a rectangle-shaped page is equal to the area of a square-shaped letter pad of 14 m side length, the perimeter of page 126 m then find the sides of the page?

59.5 m,3.5m

3 m,5 m

35 m,12m

5m,8m

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Explanation:

let the length of page be l and breadth be b
Area of pad= 196 sq m
Area of page =area of pad=196 sq m
perimeter of page=126m
2(l+b)=126m
l+b=63m...1
lb=196 sq m
(l-b)^=(l+b)^2-4lb
=(63)^2-4×196
=3969-784
=3185
l-b~56m...2
adding 1 and 2 we get
l=59.5m
from 1
b=63-59.5
=3.5