Question

A designer enlarged a rectangular photograph by 25%. The original dimensions of the rectangle were x units by y units. Which expression represents the area, in square units, of the enlarged photograph?

a. 1.25xy
b. 1.5xy
c. 1.75xy
d. 2xy

Answer 1

The expression that represents the area of the enlarged photograph is 1.5625xy.

Step-by-step explanation:

The area of a rectangle is given by the formula A = length x width.

In this case, the original rectangle has dimensions x units by y units. When the rectangle is enlarged by 25%, each dimension is multiplied by 1.25.

Therefore, the dimensions of the enlarged rectangle are 1.25x units by 1.25y units.

To find the area of the enlarged photograph, multiply the dimensions together: (1.25x)(1.25y) = 1.5625xy.

So, the expression that represents the area of the enlarged photograph is 1.5625xy.