Solve the problem.
-A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.
A) 4 in. by 9 in.
B) 5 in. by 9 in.
C) 3 in. by 4 in.
D) 5 in. by 10 in.

Question

Quizplus · Accepted Answer

The side of the square is 7 inches (since 7^2 = 49). If x is added to the length and removed from the width, the new dimensions are (7 + x) and (7 - x). The area of the rectangle is 45, so (7 + x)(7 - x) = 45. Solving gives x = 2, so the dimensions are 5 in. by 9 in.

Solve the Problem. -A Square Has an Area of 49 Square Inches. If