All categories

4 years ago

The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions

Mathematics

2 answers:

Igoryamba4 years ago

6 0

Answer:

Step-by-step explanation:

let x be the width.

length = x +2

Perimeter = 36 ft

2*( x +2 + x ) =36

2x + 2 = 36/2

2x + 2 = 18

2x = 18 -2 = 16

x = 16/2

x = 8 ft

Width = 8 ft

Length = 8 + 2 = 10 ft

Allushta [10]4 years ago

4 0

The length is 11ft and the width is 7ft

You might be interested in

What is the value of x in the triangle?

SIZIF [17.4K]

The answer is A. A^2+b^2=c^2

5 0

3 years ago

Read 2 more answers

Which is the solution to the equation 8.25 + 1/4 W = 10.75? Round to the nearest hundredth if necessary.

murzikaleks [220]

$8.25+\dfrac{1}{4}w=10.75\ \ \ \ |-8.25\\\\\dfrac{1}{4}w=2.5\ \ \ |\cdot4\\\\w=10$

3 0

3 years ago

Joshua sold his bike for 10% less than he paid for it. If he sold the bike for $585, how much did he pay for it?

oee [108]

He paid $643.5 for it originally

585 x .1 = 58.5

585+58.5= 643.5

hope this helps

6 0

3 years ago

Read 2 more answers

Math help Please!!!!

GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation −2y=3x+7 in the form $y=-\dfrac{3}{2}x-\dfrac{7}{2}.$ Here the slope of the given line is $m_1=-\dfrac{3}{2}.$ If $m_2$ is the slope of perpendicular line, then

$m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.$

Answer 1: $\dfrac{2}{3}$

Part B. The slope of the line y=−2x+3 is -2. Since $-\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2,$ then lines from part A are not parallel to line a.

Since $-2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1,$ both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line $y=\dfrac{x}{4}+5$ is $\dfrac{1}{4}.$ Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then