Question

Matthew uses this scale model of a design he plans to paint on a wall. He uses the key 1 cm = 2.5 ft. One gallon of paint will cover 400 square feet of wall.

How many gallons of paint will Matthew use?

Enter your answer as decimal in the box.

Answer 1

The answer is 2.28125

Step-by-step:

Answer 2

Answer:The number of gallons of paint that will Kerrie is 658.73gal

Conversion rate

Given the conversion rate

1 cm = 0.5 ft

Square both sides

(1cm)² = (0.5ft)²

1cm² = 0.25ft²

If one gallon of paint will cover 400 square feet of wall,

x = 400ft²

Cross multiply

0.25x = 400

x = 400/0.25

x = 1600cm²

Since 1 gallon = 2.4289cm²

y = 1600cm²

2.4289y = 1600

y = 1600/2.4289

y = 658.73gal

Hence the number of gallons of paint that will Kerrie is 658.73gal

Learn more on the conversion of gallons to square centimeter here

Explanation: