The area of a rectangle is 4y + 10.

A. Represent the area of the rectangle in factored form.
B. Use the factored form to give one possible set of dimensions for this rectangle.

Answer :

Answer:

Given : The area of a rectangle is 4y + 10.

To Find: A. Represent the area of the rectangle in factored form.

B. Use the factored form to give one possible set of dimensions for this rectangle.

Solution:

The area of a rectangle = [tex]4y + 10[/tex]

                                       = [tex]2(2y + 5)[/tex]

So, the area of the rectangle in factored form is [tex]2(2y + 5)[/tex]

B) Use the factored form to give one possible set of dimensions for this rectangle.

Area of rectangle = [tex]Length \times Breadth[/tex]

The area of the rectangle in factored form is [tex]2(2y + 5)[/tex]

Substitute y = 1

The area of the rectangle = [tex]2(2(1) + 5)[/tex]

                                           = [tex]2\times 7[/tex]

So, one possible set of dimensions for this rectangle is [tex]2\times 7[/tex]

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