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A painting is framed with a border that is 2 inches wide. If the painting itself

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Question: A painting is framed with a border that is 2 inches wide. If the painting itself is 24 inches by 36 inches, what is the total area of the framed painting?

Options:

  1. 936 sq in
  2. 864 sq in
  3. 1000 sq in
  4. 800 sq in

Correct Answer: 936 sq in

Solution: 

Total dimensions = (24 + 4) by (36 + 4) = 28 by 40. Area = 28 * 40 = 1120 sq in.

A painting is framed with a border that is 2 inches wide. If the painting itself

Practice Questions

Q1
A painting is framed with a border that is 2 inches wide. If the painting itself is 24 inches by 36 inches, what is the total area of the framed painting?
  1. 936 sq in
  2. 864 sq in
  3. 1000 sq in
  4. 800 sq in

Questions & Step-by-Step Solutions

A painting is framed with a border that is 2 inches wide. If the painting itself is 24 inches by 36 inches, what is the total area of the framed painting?
  • Step 1: Identify the dimensions of the painting. The painting is 24 inches wide and 36 inches tall.
  • Step 2: Determine the width of the border around the painting. The border is 2 inches wide.
  • Step 3: Calculate the total width of the framed painting. Add the border width to both sides of the painting: 24 inches + 2 inches (left) + 2 inches (right) = 28 inches.
  • Step 4: Calculate the total height of the framed painting. Add the border width to the top and bottom of the painting: 36 inches + 2 inches (top) + 2 inches (bottom) = 40 inches.
  • Step 5: Now, you have the total dimensions of the framed painting: 28 inches by 40 inches.
  • Step 6: Calculate the area of the framed painting. Multiply the total width by the total height: 28 inches * 40 inches = 1120 square inches.
  • Area Calculation – Understanding how to calculate the area of a rectangle by multiplying its length and width.
  • Dimensions Adjustment – Recognizing the need to adjust the dimensions of the painting to account for the border.
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