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Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between the squares? ​

User Mdesantis
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Answer:

The total area between the squares is of 24 units squared.

Explanation:

Area of a square:

The area of a square of side length l is given by:


A = l^2

Area between figures:

The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.

Larger square:

Square with side of length 7. So


A_l = 7^2 = 49

Smaller square:

Square with side of length 5. So


A_s = 5^2 = 25

What is the total area between the squares? ​


T = A_l - A_s = 49 - 25 = 24

The total area between the squares is of 24 units squared.

User Jonagoldman
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