Question

The sum of the squares of the lengths of all the sides of a rectangle is 72. Find the length of a diagonal of the rectangle

Answer 1

Answer:

length of diagonal is 6

Step-by-step explanation:

Let length of rectangle is l

and breadth of rectangle is b

According to the question

sum of square of rectangle is 72

Rectangle has equal pair of sides, so

$2 {l}^{2} + 2{b}^{2} = 72$

${l}^{2} + {b}^{2} = 36$