Question

rebekah designs a playing field for a new sport. the playing field is pictured. what is the area of the playing field? (1 point)

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = length\times width\).
The length of the larger rectangle is \(6 + 4=10\)m (by adding the two horizontal segments) and the width is \(10\)m. So the area of the larger rectangle is \(A_1=10\times10 = 100\) \(m^{2}\).

Step2: Calculate the area of the smaller rectangle to be subtracted

The height of the smaller rectangle to be subtracted is \(10 - 8=2\)m (by subtracting the vertical segments) and the width is \(4\)m. So the area of the smaller rectangle is \(A_2 = 4\times2=8\) \(m^{2}\).

Step3: Calculate the area of the playing - field

The area of the playing - field \(A=A_1 - A_2\).
Substitute \(A_1 = 100\) \(m^{2}\) and \(A_2 = 8\) \(m^{2}\) into the formula: \(A=100 - 8=92\) \(m^{2}\).

Answer:

\(92\space m^{2}\)