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s2008m [1.1K]
3 years ago
9

Given AD = 7x , AB = 3x and the perimeter is 160. Find X.

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.

We have that:

AB = 3x

AD = 7x

The perimeter is calculated as:

Perimeter = 2 * (AB + AD)

Substitute values for AB, AD and Perimeter

160 = 2 * (3x + 7x)

160 = 2 * 10x

160 = 20x

Divide both sides by 20

8 = x

x = 8

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{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}

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