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.