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Tamera makes a wooden frame around a square picture. The frame is made up of 4 congruent trapezoids. The shorter base is 6 inches, the longer base is 12 inches and the height is 3 inches. What is the total area of the picture frame

User Lil Ari
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1 Answer

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Answer: If you don't like to read, it's 108, but if you want to find it yourself next time without much trouble/help, then read below.

Explanation:

The total area of the picture frame can be calculated by finding the sum of the areas of the four congruent trapezoids that make up the frame.

To find the area of a trapezoid, we can use the formula:

Area = (base1 + base2) * height / 2 ( * = multiplication, and height / 2 means the height divided by 2)

In this case, the shorter base is 6 inches, the longer base is 12 inches, and the height is 3 inches.

Let's calculate the area of one trapezoid:

Area = (6 + 12) * 3 / 2

= 18 * 3 / 2

= 54 / 2

= 27 square inches

Since there are four congruent trapezoids in the frame, we can multiply the area of one trapezoid by 4 to get the total area of the frame.

Total area of the picture frame = 27 * 4

= 108 square inches

Therefore, the total area of the picture frame is 108 square inches.

User The E
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