Question

jenn created a new design for her garden as shown below jenn wants to buy the correct amount of topsoil to cover the whole garden what is the total area of the garden

Answer 1

We need to find the total area for her garden. The garden is formed by a coumpounding structure of a square and a rectangle. The square has sides equal to 4 centimeters, while the rectangle has the width of 5 cm and the length is shown by the sum below:

$\text{length}=5+4+5=14\text{ cm}$

The formula for the area of the square is:

$A_{\text{square}}=l^2$

Where l is the length of the side. Applying the data from the problem we have:

$A_{\text{square}}=4^2=16cm^2$

The formula for the area of the rectangle is:

$A_{\text{rectangle}}=\text{width}\cdot\text{length}$

Applying the data from the problem we find:

$A_{\text{rectangle}}=14\cdot5=70\operatorname{cm}^{2}$

The total area of the garden is the sum of the areas above. We calculate it below:

$A_{\text{total}}=16+70=86\operatorname{cm}^{2}$