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The length of a rectangular house is two-and-a-half times its width. Solve the problem

using x to denote the shorter side of the rectangle.

Construct the expression for the area of the rectangle in terms of x.

User Allegutta
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2 Answers

3 votes

Answer:

Let x be the shorter side of the rectangular house. Since the length of the house is two-and-a-half times its width, we can write this as 2.5x. The area of a rectangle is given by the formula length * width, so the area of the rectangular house in terms of x is 2.5x * x = 2.5x^2. This is the expression for the area of the rectangular house in terms of the shorter side x.

User Vincent Buck
by
7.4k points
4 votes

Answer:


2.5x^2

Explanation:

Let x be the shorter side of the rectangle, which is also its width (w), so:


w=x

Given that the length of the rectangle is two-and-a-half times its width, this means the length (l) can be expressed as:


l=2.5x

The area of a rectangle (A) is the product of its length (l) and width (w):


A =l \cdot w

Substitute the expressions for length and width into the formula for area:


A=2.5x \cdot x

Simplify this expression:


A=2.5x^2

Therefore, the expression for the area of the rectangle in terms of x is:


\Large\boxed{\boxed{2.5x^2}}

User Hilton
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