Question

the perimeters of a square and a rectangle are equal. the length of the rectangle is 2m longer than the side of the square.If if the area of the square is 100m square, then the area of the rectangle is

Answer 1

96

perimeter of rectangle must equal to 40 since the side of the square = 10

2(l+b)=40

l+b=20

l=12 , b = 8

12 * 8 = 96

In-Depth Explanation

Perimeter of Square = Perimeter of Rectangle ok?

Area of Square = 100 so the length of its side is 10 because 100 square root = 10

Perimiter of Sqaure = 40 because 10 *4

Now we know the perimeter of Rectangle is 40

the formula for perimeter of Rectangle = 2 * ( length + breadth )

its given that length = 2 more than side of square so its 10+2 = 12 so

40 = 2 * ( 12 + breadth )

20 = 12 + breadth

Breadth = 8

Area = length * breadth

= 8 * 12

= 96