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3 years ago

The length of a rectangle is 4x + 5 and the width is 8x - 4. what is the perimtleter?

1 answer:

5 0

Hi there!

Since the formula for finding the perimeter of a rectangle is length×2 + width × 2, we can follow this rule.

2 (4x + 5) + 2 (8x - 4)
= 8x + 10 + 16x - 8
= 24x + 2

So, the perimeter is 24x + 2.

Hope this helps!

You might be interested in

If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.

avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see $\boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}$

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.

$\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }$

$\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }$

Both sides subtracted by 47°.

$\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }$

Thus $\boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}$

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, $\boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}$

<u>Conclusion:</u>

m ∠a = 47°
m ∠b = 133°
m ∠c = 47°
m ∠d = 133°

<u>Notes:</u>

Supplementary angles are two angles when they add up to 180°. $\boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }$
Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. $\boxed{ \ example: \angle{a} = \angle{c} \ }$

<h3>Learn more</h3>

About the measure of the central angle brainly.com/question/2115496
Undefined terms needed to define angles brainly.com/question/3717797
Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent

7 0

3 years ago

Read 2 more answers

The angles of a rectangle are equal.<br> always<br> sometimes<br> never

worty [1.4K]

Answer: A rectangles angles are always equal.

Step-by-step explanation:

Suppose you have a rectangle, four sides, two pairs of parallel lines. in order to be a rectangle, the quadrilateral has to have equal angles, similar to a square, if they didn't, they could be a trapezoid, which is not a rectangle, because it only has one pair of parallel lines.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Chase is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two poi

MaRussiya [10]

Answer:

free throws = 6

2 points shots = 3

Step-by-step explanation:

To do this we will have 2 incognitas.

x = number of free throws

y = number of shots of 2 points

x(1) + y(2) = 12

he says he made twice as many free throws as 2 points

x = 2y

2y(1) + y(2) = 12

2y + 2y = 12

4y = 12

y = 12/4

y = 3

x = 2y

x = 2*3

x = 6

free throws = 6

2 points shots = 3

8 0

3 years ago

Read 2 more answers

Point E is located at (-2, 2) and point F is located at (4,-6). What is the distance bewtween points E and F?

Hoochie [10]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-6})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\d=\sqrt{[4-(-2)]^2+[-6-2]^2}\implies d=\sqrt{(4+2)^2+(-6-2)^2}\\\\\\d=\sqrt{6^2+(-8)^2}\implies d=\sqrt{100}\implies d=10$

4 0

2 years ago

Read 2 more answers

Choose the solutions to the two equation system.<br>6.0 + 3y = 30<br>15+ y = 7

zloy xaker [14]

Answer:

y= -8 or 8

Step-by-step explanation

30-6= 24

24/3=8

y=8

15+y=7

y=-8

3 0

3 years ago