Math, asked by svj88724, 7 months ago

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

Answers

Answered by GarvSethi51
2

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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Answered by srajfaroquee
3

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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