Question

Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 feet. What are the areas of the room and rug?

Answer 1

Answer:

1. Area of rectangular rug is $110 ft^{2}$

2. Area of triangular room is $330ft^{2}$

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

$Area=Length * Width$

substituting our given data we have

$Area= 11*10\\Area= 110 ft^{2}$

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

$Area= \frac{1}{2} *base* height$

substituting our given data we have

$Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}$