All categories

3 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:

muminat3 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

Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in t

Sedaia [141]

Answer:

Step-by-step explanation:

They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39

39/3=13

Final answer is C

6 0

3 years ago

During a certain six-year

daser333 [38]

I am sorry but this is incomplete. If you would like to PM me the full question I would love to help?

3 0

3 years ago

Cody filled of a bag with litter that he was picking up. michelle filled of a bag with litter. how much more litter did cody pic

melomori [17]

With maybe 100 grams...

3 0

3 years ago

Find the nth term of a gp with (a. find term = 5, common ratio = 2

Rina8888 [55]

Step-by-step explanation:

we know,

$tn= a {(r)}^{n - 1} \\ T5 = a {(2)}^{5 - 1} \\ t5 = a \times {2}^{4} \\ = 16a$

Therefore, nth term of a given gp is

16a

7 0

3 years ago

Ast year, 3,120 students competed in a statewide athletic competition. If each participating school district sent 26 students to

andreyandreev [35.5K]

Answer: 120 schools

Step-by-step explanation:

3,120 students competed in a statewide athletic competition and each participating school district sent 26 students to the athletic competition.

Total number of students= 3120

Total students sent by each school= 26

Number of participating school districts= Total number of students ÷ he students sent by each school

= 3120 / 26

= 120 students

There are 120 participating schools in the competition

3 0

3 years ago

Read 2 more answers