The width of the rectangle is 75% of its length
hat is the area of the rectangle?
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b. the length of the rectangle is doubled. what percent of the length is the width now? explain your reasoning.
because the length is doubled the width of the rectangle is now half of
75% of its length.
and the square is 24 in

Part a)

Part b) The width of the rectangle is now 37.5% of its length or is now half of 75% of its length.

Step-by-step explanation:

Part a) What is the area of the rectangle?

Let

L ----> the length of rectangle

W ---> the width of the rectangle

Remember that

we know that

The area of rectangle is

----> equation A

we have

-----> equation B

substitute equation B in equation A

Part b) The length of the rectangle is doubled. What percent of the length is the width now?

we know that

The length is now 2L (represent the 100%)

The width is 0.75L

using proportion

Find out what percent of the length is the width now

therefore

The width of the rectangle is now 37.5% of its length or is now half of 75% of its length.