All categories

2 years ago

The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

<h2>length = 14 cm</h2><h2>width = 3 cm</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

You might be interested in

jason wants to choose 9 players for his track team. there are 12 players to choose from. how many different teams can jason make

gtnhenbr [62]

<span>the answer is 21 if that's a choice
</span><span>
</span>

3 0

2 years ago

If lines A and B are parallel and angle 6 has a measure of 127°, what is the measure of angle 8?

RUDIKE [14]

If line A and B are parallel, then both angle 6 and 8 are corresponding angles, which mean they are the same.

SInce angle 6 is 127 degrees, then angle 8 is also 127 degrees

8 0

2 years ago

At an university 70% of the students who attend stay on campus. If 1,380 of the students who attend live off campus, what is the

Alborosie

Answer:

4600

Step-by-step explanation:

We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

$\frac{30}{100}=\frac{1380}{y}$

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

30y=100(1380)

30y=138000

y=4600.

There are 4600 students who attend the university.

7 0

2 years ago

What is the area of this shape?<br><br> PLEASE HELP!

Andrej [43]

Answer: 5

Step-by-step explanation:

1+1+1+1+1

3 0

2 years ago

Read 2 more answers

Please solve both of these with how you solved them.

Paladinen [302]

Answer:

a. (2,5)

b. (14,15.5)

Step-by-step explanation:

y=4x-3

y=-2x+9

Set both equations equal to each other to solve for x.

4x-3=-2x+9

6x=12

x=2

Plug in x to solve for y.

y=4x-3

y=4(2)-3

y=8-3

y=5

(2,5)

y=(5/4x)-2

y=(-1/4x)+19

Set both equations equal to each other to solve for x.

(5/4x)-2=(-1/4x)+19

4((5/4x)-2=(-1/4x)+19)

5x-8=-x+76

6x=84

x=14

Plug in x to solve for y.

y=(5/4x)-2

y=(5/4(14))-2

y=17.5-2

y=15.5

(14,15.5)

6 0

2 years ago