A rectangular room is 1.3 times as long as it is wide, and its perimeter is 35 meters. Find the dimension of the room.

The length is ? meters and the width is ? meters.

A rectangular room is 1.3 times as long as it is wide, and its perimeter is 35 meters. Find the dimension of the room.

The length is ? meters and the width is ? meters.

Tutors, please sign in to answer this question.

There are two equations here, and you can use substitution to solve.

Let L equal the length & W equal the width.

The equation for perimeter is L + W + L + W or 2L + 2W so our first equation is 2L + 2W = 35

The problem tell us the second equation also: the length is 1.3 times the width, or L = 1.3W

Substitute 1.3W for L in the first equation so it reads 2(1.3W) + 2W = 35

Multiply the first expression so the new equation is 2.6W + 2W = 35

Add the first two expressions so the new equation is 4.6W = 35

Divide both sides by 4.6 to solve for W: W = 7.6

Now go back to the second equation and insert the value of W: L = 1.3W = 1.3*7.6) = 9.8

You can check your work and use more than one decimal place for more accuracy.

Amaan M.

Math/Economics Teacher

New York, NY

5.0
(70 ratings)

Jimmy C.

Latin Tutor specializing in grammar, syntax, and translation.

Brooklyn, NY

5.0
(59 ratings)

Wesley L.

Premier MIT Math Tutor and SHSAT/SAT/ACT Specialist

New York, NY

5.0
(229 ratings)