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nikitadnepr [17]
3 years ago
14

A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inche

s tall. What is the area of the frame not covered by the painting? Show your work.
Mathematics
1 answer:
evablogger [386]3 years ago
4 0

The area of the frame not covered by the painting is 192 square inches

<em><u>Solution:</u></em>

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

Area = length \times width

<em><u>Find the area of painting without frame:</u></em>

Length = 20 inches

Width = 24 inches

Area\ Without\ Frame = 20 \times 24 = 480

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

<em><u>Find the area of painting with frame:</u></em>

Length = 24 inches

Width = 28 inches

Area\ with\ frame = 24 \times 28 = 672

Thus area of painting with frame is 672 square inches

<em><u>What is the area of the frame not covered by the painting</u></em>

Area of the frame not covered by the painting = Area with farme - Area without frame

Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

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