Question

franks backyard has cement and grass. find the area of the part with cement. (sides meet at right angles.) 2 m 4 m 3 m grass cement 5 m 32 square meters 2 m 6 m

Explanation:

Step1: Calculate the area of the whole backyard

The whole backyard is a rectangle with length \(l = 6\)m and width \(w=5\)m.
The area of a rectangle is \(A = l\times w\). So, \(A_{total}=6\times5=30\) square meters.

Step2: Calculate the area of the grass part

The grass part is a rectangle with length \(l = 4\)m and width \(w = 3\)m.
The area of the grass part \(A_{grass}=3\times4 = 12\) square meters.

Step3: Calculate the area of the cement part

The area of the cement part \(A_{cement}=A_{total}-A_{grass}\).
Substitute the values: \(A_{cement}=6\times5 - 3\times4\).
First, \(6\times5=30\) and \(3\times4 = 12\). Then \(A_{cement}=30 - 12=18\) square meters.

Answer:

18 square meters