Question

4. The sum of the areas of two squares is 74 cm²
The difference between their lengths is 2 cm.
Find the sides of two squares.​

Answer 1

Answer:

Sides of the squares are 5 cm and 7 cm respectively.

Step-by-step explanation:

Let the length of the first square be x cm.

Then, length of second square be (x+2) cm.

A/q

Sum of Area of both squares = 74 cm²

=> x² + (x+2)² = 74

=> x² + x² + 4 + 4x = 74

=> 2x² + 4x - 70 = 0

=> x² +2x - 35 = 0

=> x² + 7x - 5x - 35 =0

=> x(x+7) - 5(x+7) =0

=> x = 5 or x= - 7

Since, length can never be negative.

Therefore, x= 5

Length of side of first square = 5 cm

And length of side of second square = 7 cm .