Question

Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence.

How much of the backyard is not covered by the garden?


452 m2



476 m2



524 m2



548 m2


whats the answer plz

Answer 1

`Area = 476m^2`

Explanation:

Given

See attachment

Required

The uncovered area

First, calculate the area of the rectangle

`Area = Length * Width`

From the attachment

`Length = 25m` and
`Width = 20m`

So:

`Area = 25m * 20m`

`Area = 500m^2`

The area of the triangle is:

`Area = (1)/(2) * Base * Height`

From the attachment

`Base = 8m`

`Height = 6m`

So:

`Area = (1)/(2) * 8m * 6m`

`Area = (1)/(2) * 48m^2`

`Area = 24m^2`

The uncovered area is:

`Area = 500m^2 - 24m^2`

`Area = 476m^2`