# The perimeter of the rectangle is 120 feet. if the length of the rectangle is ten feet more than the width ,what are the dimensions (length and width) of the rectangle?

## All Answers

Hello from MrBillDoesMath!

L = 35, W = 25

Discussion:

The attachment shows that

P = 2L + 2W = 120

and

L = 10 + W

2L + 2W = 120 => Substitute the last equation into the first one

2(10 + W) + 2W = 120 =>

20 + 2W + 2W = 120 => combine like terms

20 + 4W = 120 => subtract 20 from both sides

4W = 120 -20 = 100 => divide both sides by 4

W = 100/4 = 25

Hence, L = 10 + W = 10 + 25 = 35

Thank you,

MrB

cosine

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

)

triangle abd and cba are similar,

(2)

triangle cad and cba are similar,

)

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the translated point is (5,2)