Question

Maria was paid $1854 for laying the Corbett's lawn. If she charged $135 plus 9.55 per square metre of lawn laid, find the area of the lawn.

Answer 1

Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

Answer 2

The area of the lawn can be calculated using the following equation:

Area = (1854 - 135) / 9.55

Area = 173.7 square metres.

To calculate the area of the lawn, we subtracted the fixed fee of $135 from the total amount paid to Maria ($1854) and then divided the result by the rate per square metre (9.55). This gave us the area of the lawn in square metres.