Question

The width of the rectangle is 75% of its length

Answer 1

Answer:

Part a) $A=\frac{3}{4}L^2\ units^2$

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

$75\%=\frac{75}{100}=\frac{3}{4}$

we know that

The area of rectangle is

$A=LW$ ----> equation A

we have

$W=\frac{3}{4}L$ -----> equation B

substitute equation B in equation A

$A=L(\frac{3}{4}L)$

$A=\frac{3}{4}L^2\ units^2$

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

$\frac{2L}{100\%}=\frac{0.75L}{x}\\\\x=0.75L(100)/2L\\\\x=37.5\%$

therefore

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