Question 6 of 10

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of

ratelena [41]

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

$A=b^2$

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

$A=x^{2}\ in^2$

The length of the smaller square is

$b=(x-3)\ in$

The area of the smaller square is

$A=(x-3)^2\ in^2$

The area of the smaller square is 1/4 the area of the original square

so

$(x-3)^2=\frac{1}{4} x^{2}$

solve for x

$x^2-6x+9=\frac{1}{4} x^{2}$

Multiply by 4 both sides

$4x^2-24x+36=x^{2}$

$4x^2-x^2-24x+36=0\\3x^2-24x+36=0$

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

3 0

2 years ago

Justin recently started working for a company that pays him $11.40 per hour. He is expected to work a total of 251 days for 8 ho

Serhud [2]

Answer:

22,891.20

Step-by-step explanation:

I took this quiz and got it right.

6 0

2 years ago

Read 2 more answers

Celina can walk 4 miles in 1 hour and can run 8 miles in 1 hour. What percent of Celina’s average running speed is her average w

Valentin [98]

Okay. So, we're looking for the percentage of Celina's running speed as her walking speed. Her running sped is 8 mph and her walking speed is 4mph. All we have to do is 4/8 = x/100. You put change/original and x/100, because we're looking for the percent of change from running speed to walking speed. Cross multiply the values to get 400 = 8x. Divide each side by 8 to isolate the "x". 400/8 is 50. x = 50. Celina's walking speed is 50% of her running speed. The answer is B: 50%.

5 0

2 years ago

The owner of a sandwich shop researches the cost of buying different numbers of pounds of sandwich meat. The owner creates a sca

IgorC [24]

Answer:

what r the statementzsssssssssssssssssssssssssssssssssss

Step-by-step explanation:

3 0

2 years ago

Huixian mother buys some shares of company A on day 0. on day 7, the share price of company a is $4.60. if she sells all her sha

Wewaii [24]

I think that u might want to do the share the company money i could be wrong but if i sm sorry

4 0

2 years ago