The perimeter of a square is 56 m. The area of rectangle is 8 sq.m.. less than the area of given square.If the length of rectangle is 16m find its breadth.
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Answered by
4
Perimeter of square =4a
56=4a
a=56/4
a=14
area of square =a*a
=14*14
=196m2
area of rectangle =area of square -8
=196-8
=188m2
area of rectangle =l*b
188=16*b
b=188/16
b=11.75m
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Answered by
2
Perimeter of the square=56m
P=4×side
56=4×side
side=56÷4
side=14m
Area of square=side ×side
=14×14=196 sq.m
According to the problem,
let the area of square be x m
area of rectangle=(x-8)m
area of rectangle=length×breadth
(x-8)=16×breadth
substituting the value of x for (x-8);
196-8=16×breadth
breadth=188÷16
breadth=11.75m
Therefore,the breath of the rectangle is 11.75m.
P=4×side
56=4×side
side=56÷4
side=14m
Area of square=side ×side
=14×14=196 sq.m
According to the problem,
let the area of square be x m
area of rectangle=(x-8)m
area of rectangle=length×breadth
(x-8)=16×breadth
substituting the value of x for (x-8);
196-8=16×breadth
breadth=188÷16
breadth=11.75m
Therefore,the breath of the rectangle is 11.75m.
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