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

1. Area of rectangular rug is
`110 ft^(2)`

2. Area of triangular room is
`330ft^(2)`

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= (1)/(2) *base* height\\`

substituting our given data we have

`Area= (1)/(2) * 30* 22\\Area=(660)/(2) \\Area= 330 ft^(2)`