Question

Schoolyard has an area of 3,564ft.² the section that is in the shape of a triangle is just for picnic table and what is the area of the section for the picnic tables

Answer 1

The area of the section for the picnic tables is
`1,188\ ft^(2)`

Explanation:

we know that

The area of the schoolyard is equal to the area of a rectangle plus the area of a triangle

so

`3,564=44*(2x-x)+(1)/(2)(2x-x)*44\\ \\3,564=44x+22x\\\\3,564= 66x\\ \\x=54\ ft`

The area of the triangle is equal to

`22x=22*54=1,188\ ft^(2)`