The area of a rectangle is 8w +18 square feet. The length of the rectangle is 2 feet. Use factoring to

Mathematics

2 answers:

vivado [14]3 years ago

7 0

Answer:

The expression that represents the width of the rectangle is 4w + 9

Step-by-step explanation:

The formula of the area of the rectangle is A = length × width

Let us solve the question

∵ The area of a rectangle is 8w + 18 square feet.

∴ A = 8w + 18

∵ The HCF of 8 and 18 is 2

→ Divide each term of the area by 2 to get 2 as a common factor

∵ 8 ÷ 2 = 4 and 18 ÷ 2 = 9

∴ A = 2(4w + 9)

∵ The length of the rectangle is 2 feet

→ Substitute it in the formula of the area above

∵ A = 2 × width

∴ A = 2 width

→ Equate the two right sides of the area

∴ 2 width = 2(4w + 9)

→ Divide both sides by 2

∴ The width = 4w + 9

∴ The expression that represents the width of the rectangle is 4w + 9

Sonbull [250]3 years ago

7 0

Answer:

Give the other guy a brainliest they deserve it :)

Step-by-step explanation:

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Evaluate gh-k when g= -7 , h=4, and k= -6

Amanda [17]

Answer: -22

Step-by-step explanation: multiply -7 adn 4 that would be -28 then subtract -6 and it would give you -22

Have a good day!

3 0

4 years ago

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th

muminat

Answer:

3 $\frac{3}{4}$ yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 $\frac{2}{4}$ - (2 $\frac{2}{4}$ + 4 $\frac{1}{4}$ ) = x