Respuesta :

Answer:

Answer:

825 feet of area of the wall  required to be  painted.

Explanation:

Given:

Length of the room = 15 feet

Width of the room =12 feet

Height of the room = 9-foot

Size of the door= 3 feet x 7 feet

To find:

The area of the walls that requirespainted=?

Solution:

We know that,  

Area of walls that need paint = total surface area of room – area of door that doesn’t need paint…………(1)

Finding the Total area of the room:

room is cuboidal shape,  

Then, its total surface area = 2(lb + bh + hl)

Where

h is height,  

l is length,

b is width  

Substituting the values,

Total surface area = 2(15 x 12 + 12 5 9 + 9 x 15)  

Total surface area = 2(180+108+135)

Total surface area = 2( 423)

Total surface area =  = 846 feet…………..(2)  

Finding the area of the door:

Area of door = area of rectangle = length x width

Substituting the values,

area of door= 3 x 7 = 21 feet……………(3)

Substituting (2) and (3) in (1)

Area that  is require paint = 846 – 21 = 825 feet

The area of the four walls whose dimensions are 15 × 20 × 9 feet is 630 square feet.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

A rectangular room measures 15 feet by 20 feet. The ceiling is 9 feet high.

The area of the four walls will be given as

Area of 4 wall = (20 × 9) + (15 × 9) + (20 × 9) + (15 × 9)

Area of 4 wall = 180 + 135 + 180 + 135

Area of 4 wall = 630

The area of the four walls is 630 square feet.

More about the rectangle link is given below.

https://brainly.com/question/10046743