Question

A square of an unknown side length x inches has one side length increased by 4 inches and the other increased

by 7 inches

(a) If the original square is shown below with side lengths marked as x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above.

Answer 1

Length of new rectangle = (x + 7) inches

Width of new rectangle = (x + 4) inches

Explanation:

A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.

Given that: the square has unknown side length x inches.

Increasing one of its length by 4 inches = (x + 4) inches

Increasing the other by 7 inches = (x + 7) inches.

The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.

the label diagram to represent the new rectangle is shown in the diagram attached to this answer.