# A rectangular garden has a walk around it with x + 2 width. The garden is 35 ft. by 25 ft. Find an expression for the combined area of the garden and the walk.

1
Log in to add a comment

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

To find the combined area of the garden and the walk, we need to find the dimensions of the largest rectangle that contains them.

To get this, we need to add the width of the walk to the dimensions of the garden.

The new dimensions would be

**35 + 2(x+2) ft by 25 + 2(x+2) ft**

Note that we need to add twice the width of the walk since it is around the garden. (top and bottom, left and right)

Therefore, the expression for their combined area is

A = [35 + 2(x+2)] • [25 + 2(x+2)] = (2x+39)(2x+29) =**4x² + 136x +1,131**

To get this, we need to add the width of the walk to the dimensions of the garden.

The new dimensions would be

Note that we need to add twice the width of the walk since it is around the garden. (top and bottom, left and right)

Therefore, the expression for their combined area is

A = [35 + 2(x+2)] • [25 + 2(x+2)] = (2x+39)(2x+29) =