Math Problem Statement

Jina is planning to paint a building whose dimensions are shown below. The front of the building has a door measuring 45in by 80in. The left and right sides of the building each have 2 windows measuring 8ft by 4fteach. The back of the building has no window or door. Use the given information to answer the questions. Each tab shows a different view of the building.

Conversion facts for length foot inches yard feet yard inches Front-right view Back-left view

(a) Assuming the roof, windows, and door require no paint, what is the area in square feet that needs paint? (Do not round any intermediate computations and give your answer as a whole number.)

(b) Jina will use paint that is sold in cans. Each can contains enough paint to cover 250ft squared . Assume Jina doesn't have any paint yet and she can't buy partial cans. How many cans will she need to buy in order to paint the building? (c) If each can costs 34.50, how much will Jina need to spend on paint?

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Unit Conversion

Formulas

Area of rectangle = length × width
Unit conversion: 1 foot = 12 inches
Total paint required = Total area / Coverage per can

Theorems

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Suitable Grade Level

Grades 6-8