The base of a rectangle is multiplied by . Which of the
following describes the effect of this change on the area?

Question

The base of a rectangle is multiplied by $$ \frac{1}{3} $$. Which of the following describes the effect of this change on the area?

UpStudy AI · Accepted Answer

Let the original dimensions of the rectangle be a base $$ b $$ and a height $$ h $$. Then the original area is

$$
A = b \times h.
$$

If the base is multiplied by $$ \frac{1}{3} $$, the new base becomes

$$
b_{\text{new}} = \frac{1}{3}b.
$$

The new area becomes

$$
A_{\text{new}} = b_{\text{new}} \times h = \left(\frac{1}{3}b\right) \times h = \frac{1}{3}(b \times h) = \frac{1}{3}A.
$$

Thus, the area is reduced to one third of its original value.
Multiplying the base of the rectangle by $$ \frac{1}{3} $$ reduces the area to one third of its original value.

The base of a rectangle is multiplied by . Which of the
following describes the effect of this change on the area?

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The base of a rectangle is multiplied by . Which of the following describes the effect of this change on the area?

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Latest Geometry Questions

The base of a rectangle is multiplied by . Which of the
following describes the effect of this change on the area?