Question

each side of a square field measures 21m. Adjacent to this field there is a rectangular field having its sides in the ratio 4:3 . if the perimeters of both the fields are equal, find the dimensions of the rectangular field

Answer 1

one rectangular side be 4x
and other be 3x
perimeter of the rectangle = perimeter of the square
2(l+b)=21
4x+3x=10.5
7x =10.5
x=1.5
l=4*1.5=6m
b=3*1.5=4.5m

Answer 2

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Each side of a square field measures 21m. Adjacent to this field there is a rectangular field having its sides in the ratio 4:3 . if the perimeters of both the fields are equal, find the dimensions of the rectangular field.

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side of the square field= 21m

perimeter of the square field= 4×21m

= 84m

let the length and breadth of the rectangular field be 4x and 3x - respectively

peri of the rectangular field = 2 (l+b) m

= 14xm

Perimeter of the rectangular field= Perimeter of the square field therefore.

14x=84. = 84/14 = 6

L oc rec field = (4x6)m = 24m

B of rec field = (3x6)m = 18 m

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