A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by

Question

2 years ago

13

A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by

3 units to be (x + 3). Write a simplified expression that represents the area of the resulting rectangle in square units?

Mathematics

1 answer:

gladu [14] · Answer 1 · 2022-11-29T08:36:28+03:00

gladu [14]2 years ago

4 0

Area of the rectangle = x^2 + 8x + 15 square units

Explanation:

Length = x + 5
Breadth = x + 3

Area = l x b = (x + 5)(x + 3) = x(x + 3) + 5(x + 3) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15 square units