A bedroom wall is to be painted around a window as shown below. What is the area of the wall that will be painted? 6 ft 104 ft2 110 ft2 116 ft2

Question

asked Oct 23, 2019 80.6k views

2 Answers

Voriki · Answer 1 · 2019-10-28T22:25:47+0000

Answer:

Second option: 104 ft²

Explanation:

The wall and the window are rectangles.

The formula used to calculate the area of a rectangle is:

A=l*w

Where "l" is the length and "w" is the width.

Let be
A_t the area of the entire wall (including the window),
A_1 the area of the wall that will be painted and
A_2 the area of the window.

The area of the wall that will be painted can be calculated by subtracting
A_t and
A_2 .

Then you get:

A_1=A_t-A_2

$A_1=(l_t*w_t)-(l_2*w_2)\\\\A_1=(11ft)(10ft)-(3ft)(2ft)\\\\A_1=104ft^2$