Question

The diagram represents the floor of a museum. The figure is made up of a rectangle and a triangle.

What is the area of the floor?

Enter your answer in the box.

Answer 1

So you have a triangle and a rectangle...the area of the rectangle is xy and the area of a triangle is bh/2...

r=20*38, t=(38-5)(29-20)/2

A=r+t

A=760+148.5=908.5 ft^2

Answer 2

The area of the floor is
`908.5\ ft^(2)`

Explanation:

we know that

The area of the floor is equal to the area of rectangle plus the area of triangle

Step 1

Find the area of the rectangle

The area of rectangle is equal to

`A=LW`

we have

`L=38\ ft`

`W=20\ ft`

substitute

`A=38*20=760\ ft^(2)`

Step 2

Find the area of triangle

The area of triangle is equal to

`A=(1)/(2)bh`

we have

`b=38-5=33\ ft`

`h=29-20=9\ ft`

substitute

`A=(1)/(2)(33)(9)=148.5\ ft^(2)`

Step 3

Find the area of the floor

`760\ ft^(2)+148.5\ ft^(2)=908.5\ ft^(2)`