Question

Give your answers to 1 decimal place. Josef has decided to sort out the front and back gardens of his house. The front garden measures 5.2m x 4m and he wants to put down gravel so he can use it as a drive. What is the area of the drive? Tom The back garden measures 8.3m x 6m and he wants to put down new grass turf. What is the area of the back garden? He also wants to put down some lawn edging all around the perimeter of the back garden so he can have flower beds. What is the perimeter of the back garden?

Answer 1

The area of the drive is equal to the area of the front garden, which is a rectangle with a length of 5.2 m and a width of 4 m. The area of a rectangle is computed as follows:

`A=w\cdot l`

where w is the width and l is the length of the rectangle.

Substituting with w = 4 m and l = 5.2 m, we get:

`\begin{gathered} A=4\cdot5.2 \\ A=20.8\text{ m}^2 \end{gathered}`

The area of the drive is 20.8 square meters.

The back garden has a length of 8.3 m and a width of 6 m. Substituting with w = 6 m and l = 8.3 m into the area's formula, we get:

`\begin{gathered} A=6\cdot8.3 \\ A=49.8\text{ m}^2\text{ } \end{gathered}`

The area of the back garden is 49.8 square meters

The perimeter of a rectangle is computed as follow:

`P=2\cdot(l+w)`

Substituting with w = 6 m and l = 8.3 m, we get:

`\begin{gathered} P=2\cdot(8.3+6) \\ P=2\cdot14.3 \\ P=28.6\text{ m} \end{gathered}`

The perimeter of the back garden is 28.6 m