Question

`HIJK` is a rectangle. If `HJ = x + 40` and `IK = 5x`, what is the value of `x` and the length of each diagonal?

Answer 1

10 & 50

Explanation:

We know, rectangle's diagonal's are equal.

So, x + 40 = 5x

or, x - 5x = - 40

or, - 4x = - 40

or, x = `[-40]/-4`

or, x = 10

Hence the value of x = 10 and length of the diagonal = x + 40 = 50 or 5 x= 510 = 50.