Question

A rectangular garden has a walkway around it. The area of the garden is 2(4.5x +1.5). Thecombined area of the garden and the walkway is 3.5(8x + 4). Find the area of the walkway aroundthe garden as the sum of two terms.The area of the walkway around the garden is(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

DataL

garden area = 2(4.5x +1.5)

garden + walkway area = 3.5(8x + 4)

walkway area = ?

Step 02:

walkway area:

walkway area = 3.5(8x + 4) - 2(4.5x +1.5)

= 28x + 14 - 9x - 3

= 19x + 11

The answer is:

The area of the walkway around the garden is 19x + 11