Question

Tanya has a garden with a trench around it. The garden is a rectangle with length 212m2 \dfrac12 \text{m} 2 2 1 ​ m 2, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 2 m2 \text{ m} 2 m 2, start text, space, m, end text . The trench and garden together make a rectangle with length 312m3 \dfrac12 \text{m} 3 2 1 ​ m 3, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 3 m3 \text{ m} 3 m 3, start text, space, m, end text . Find the area of just the trench.

Answer 1

To find the area of just the trench in Tanya's garden, subtract the area of the garden from the total area of the garden and trench combined.

Step-by-step explanation:

To find the area of just the trench in Tanya's garden, we need to subtract the area of the garden from the total area of the garden and trench combined. The total area of the combined rectangle is 312m2 ½m x 3m. We know the area of the garden is 212m2 ½m x 2m. So, the area of just the trench is:

Area of trench = Total area - Area of garden

Area of trench = 312m2 ½m x 3m - 212m2 ½m x 2m

Area of trench = (468 - 424)m2

Area of trench = 44m2