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A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?

A) (2y – 7) units by (2y – 7) units

B) (4y – 49) units by (y + 1) units

C) (2y – 7) units by (2y + 7) units

D) (y – 7) units by (4y + 7) units


Sagot :

The dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as

Area = length * width

Given the following parameter

Area = .4y² - 49

Factorize the area

Area = (2y)² - 7²

Using the difference of two square

Area = (2y - 7)(2 y + 7)

Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Learn more on area of rectangle here: https://brainly.com/question/25292087

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