Question

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

Answer 1

760 ft would be the area of the floor :) 

Answer 2

Answer:

The area of the floor is $908.5\ ft^{2}$

Step-by-step 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

$A=\frac{1}{2}bh$

we have

$b=38-5=33\ ft$

$h=29-20=9\ ft$

substitute

$A=\frac{1}{2}(33)(9)=148.5\ ft^{2}$

Step 3

Find the area of the floor

$760\ ft^{2}+148.5\ ft^{2}=908.5\ ft^{2}$