Question

The perimeter of a square is 56m. The area of rectangle is 8sq.m. less than the area of the give square. If the length of the rectangle is 16m,find its breath

Answer 1

Answer:

Hey there!!

The perimeter of square = ( 4 ) ( side )

( 4 ) ( side ) = 56

side = 56 ÷ 4

side = 14 m

The area of the of the rectangle is 8m² less than the area of the square

Area of the square = ( side )²

Area = ( 14 )²

Area = 196 m²

Now, the area of the rectangle = ( length ) × ( breadth )

Area = 196 - 8

Are = 188 m²

( length ) × ( breadth ) = 188 m²

Length = 16

( 16 ) × ( breadth ) = 188

Breadth = 188 ÷ 16

Breadth = 11.75 m

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Answer 2

Answer:

Breadth is 11.75 m

Step-by-step explanation:

We need to find area of square first.

Given,

perimeter of square is 56 m and we know 4 x sides is perimeter of a square.

4 x side = 56

side = 56 ÷ 4

∴ side =  14 m

Now,

area of the square = side x side

area = 14 x 14 = 196

now,

Area of rectangle is l x b

= 196 - 8 = 188

area of rectangle = l x b

188 = 16 x b

∴ b = 188 ÷ 16 = 11.75 m

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