Question

Length of a rectangle
rectangle is 7 more than its breadth
and length of diagonal of the rectangle is 13 cm
What is
of the sauare having Perimeter
same as the perimeter of giren rectangle?
area​

Answer 1

using pythagoras theorem

let breadth of rectangle be x

THEREFORE length = x+7

x² +(x+7)² =13²

x²+x²+49+14x = 169

2x² +14x = 120

solve this quadratic equation to get value of x

then calculate perimeter of rectangle

equate perimeter of rectangle to the formula 4a ( perimeter of square) ....

get value of a ...

a = side of square

a² = area of square