Question

Gorans vegetable garden has an area of 400^2 Ft It is the shape of a rectangle with a length of 40ft

Answer 1

Part A

The garden has an area of 400 ft².

• Length = 40 ft

,

• Width = 10 ft.

The new length will be 3 times the current length.

$\implies\text{New Length}=3\times40=120ft$

The new width will be 4 times the current length.

$\implies\text{New Width}=4\times10=40ft$

$\begin{gathered} \text{New Length}\times New\text{ Width=New Area} \\ 120\; ft\times40\; ft=4800\; ft^2 \end{gathered}$

Part B

$\frac{\text{New Area}}{\text{Old Area}}=\frac{4800}{400}=12$

The area of the new garden will be 12 times the area of the current garden.

Part C

Bob wants his new garden to be 14 times the area of his current garden.

$14=2\times7$

Make the length 2 times the current length and make the new width 7 times the current width.