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

Respuesta :

Answer:

[tex]Area = 476m^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The uncovered area

First, calculate the area of the rectangle

[tex]Area = Length * Width[/tex]

From the attachment

[tex]Length = 25m[/tex] and [tex]Width = 20m[/tex]

So:

[tex]Area = 25m * 20m[/tex]

[tex]Area = 500m^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

From the attachment

[tex]Base = 8m[/tex]

[tex]Height = 6m[/tex]

So:

[tex]Area = \frac{1}{2} * 8m * 6m[/tex]

[tex]Area = \frac{1}{2} * 48m^2[/tex]

[tex]Area = 24m^2[/tex]

The uncovered area is:

[tex]Area = 500m^2 - 24m^2[/tex]

[tex]Area = 476m^2[/tex]

Ver imagen MrRoyal