Parker designs a square flower garden

Question

Parker designs a square flower garden that has the same area as a rectangle one the length of the rectangular Garden is 10 ft longer than the side of the Square Garden the width of the rectangular Garden is 5 feet shorter than the side of a square find the side length of the rectangle Garden

Answer 1

For the square I am assigning the sides lengths of S

Area=S²

For the rectangle

L=10+s

W=S-5

Area=(10+s)(S-5)

Since the areas are equal

S²=(10+s)(S-5)

Foil

S²=S²+5S-50

Subtract S²

0=5S-50

Add 50 to both Sides

50=5S

Divide by 5

10=S

Length of the rectangular garden is 10+S=10+10=20