A rectangle and a square have the same area. The length of the rectangle is
2 m longer than the square, and the
width of the square is 1 m wider than
the rectangle. What is the length of th-
side of the square?

Square is 2 X 2.

Rectangle is 1 X 4

Step-by-step explanation:

S is the length of side of the square

L is the length of the rectangle

W is the width of the rectangle

L = S + 2 : we are told length of rectangle is 2 more than side of square

W = S - 1 : we are told width of square is 1 more than width of rectangle

S^2 = LW : we are told the areas of the square and the rectangle are equal

S^2 = LW : replace L with "S + 2" and W with "S - 1" from first two equations

S^2 = (S + 2) * (S - 1) : multiple right side terms

S^2 = S^2 + S - 2 : subtract S^2 from both sides

0 = S - 2 : add 2 to each side

2 = S : length of square's side

Substitute S into first two equations:

L = 2 + 2 = 4

W = 2 - 1 = 1

21/4 x 51/2 - k use the app Photomate if wrong