Question

Lesson 4-7: MathXL for School: Practice & Problem Solving Due 02/11/21 11:59 pm 4.7.PS-15 Question Help A rectangular garden has a walkway around it. The area of the garden is 2(5.5x +3.5). The combined area of the garden and the walkway is 2.5(8x + 5). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is 1 (Simplify your answer. Use integers or decimals for any numbers in the expression.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All All parts showing

Answer 1

The area of the garden is

`2(5.5x+3.5)`

and the combined area is:

`2.5(8x+5)`

To find the area of the walkway we substract the area of the garden to the combined area, that is:

`\begin{gathered} 2.5(8x+5)-2(5.5x+3.5)=20x+12.5-11x-7 \\ =9x+5.5 \end{gathered}`

Therefore the area of the walkway is:

`9x+5.5`