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