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Brrunno [24]
3 years ago
12

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and

there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 4(x) represent?
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.

Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.
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This problem is asking you to apply the *Pythagorean Theorem*, given the information you’ve been given.

In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:

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