Question

The difference of the area of two squares is 200cm2. Each side of the larger square is three times the length of a side on the smaller square. Find the length of a side on each square.

Answer 1

Answer:

Side of the smaller square=10

Side of the bigger square=30            (3x= 3X10)

Step-by-step explanation:

Let X be the side of the smaller square.

Side of the bigger square=3X

Area of a Square= $Side^{2}$

$3x^{2} -x^{2}=200\\2x^{2} =200\\x^{2} =\frac{200}{2} \\x^{2} =100\\x=\sqrt{100}\\x=10$Side of the smaller square=10

                        Side of the bigger square=30(3x= 3X10)