The length of a rectangle is six times its width. if the perimeter of the rectangle is 70 inches, find its area.

1 answer:

3 0

Width = w

Length (l) = 6w

Perimeter (P) = 70 inches

2*(l + w) = 70

6w + w = 35

7w = 35

--- w = 5

--- l = 6w = 6*5 = 30

Area = l*w = 30 * 5 = 150 inches²

You might be interested in

How to solve for vertex form<br> y = -x^2 + 4x – 1

Nastasia [14]

Answer: y= -(x-2)^2+3

6 0

3 years ago

The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3)

Kipish [7]

Answer:

$y=\frac{x}{5}+\frac{12}{5}$

Step-by-step explanation:

1) The Point-slope form equation is given in this form:

$(x-x_{0})=m(y-y_{0})$

2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)

3) Before using the Point-slope form We have to find out the slope:

$m=\frac{-4-(-3)}{0-(-5)} \Rightarrow m=\frac{-4+3}{0+5} \Rightarrow m=\frac{-1}{5}$

4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":

$y=\frac{x}{5}+b\Rightarrow 2=\frac{-2}{5}+b\\5*10=(-2+b)*5\Rightarrow 5b=12 \Rightarrow \frac{5b}{5} =\frac{12}{5} \Rightarrow b=\frac{12}{5}$

Then, the answer is:

$y=\frac{x}{5}+\frac{12}{5}$

5 0

3 years ago

Read 2 more answers

The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270m2.

NikAS [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is 15% of $48.32? Explain?

Elden [556K]

$48.32* (15/100)
= $7.25.

The final answer is $7.25~

5 0

3 years ago

A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company

sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = $\frac{50}{250 } \\= 0.20$