Question

marys backyard has cement and grass. find the area of the part with cement. (sides meet at right angles.)

Explanation:

Step1: Calculate total area of the large rectangle

The large rectangle has length $6$m and width $(3 + 2)$m. Using the formula for the area of a rectangle $A = l\times w$, we have $A_{total}=6\times(3 + 2)=6\times5 = 30$ square - meters.

Step2: Calculate area of the grass - part rectangle

The grass - part rectangle has length $(6 - 3)$m and width $3$m. Using the area formula $A = l\times w$, we get $A_{grass}=(6 - 3)\times3=3\times3 = 9$ square - meters.

Step3: Calculate area of the cement part

Subtract the area of the grass part from the total area. $A_{cement}=A_{total}-A_{grass}=30 - 9=21$ square - meters.

Answer:

21 square meters