Question

MATH

NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1

Answer 1

9514 1404 393

Answer:

3 gallons

Explanation:

When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...

distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)

length of walls to be painted: AB +BC +DE +EA = 34.5 ft

area of walls to be painted: (length)(11 ft) = 379.3 ft²

gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal

About 3 gallons of paint are needed to paint 4 walls of the room.