give the demensions of rectangles with the perimeters of 70 feet and length-to-width ratios of 3 to 4, 4 to 5, and 1 to 1.

Ok, the perimeter is 70 and perimeter = 2(length + width)
The ratio is length:with=3:4 so length = (3/4)width
70 = 2(length + width) =2((3/4)width +
So 35 = (7/4)width
Can you finish it off?
If the ratio is 4:5 then 35=((4/5)width + width)
If it's 1:1 then 35 = 2*length = 2*width
Can you finish it off now?

I'm sorry I havn't done this in 20 years my son is in 7th grade doing 8th grade work and I guess the teacher expects the student to know this stuff. He has given no direction to the kids. Thank you for all your help. I will have to get a teaching book on Algebra so I can teach my child.

Ok. This is introductory algebra so you should have no trouble finding sources to help. If you look at the Jump box above you'll find lessons that cover this material on Jiskha.

Thank You, Thank you

You're welcome
Feel free to have your son post questions too. There are plenty of people helping here.

Let the width-to-length ratio be r. I am calling "length" the longest side, so r is less than or equal to 1.

Let a be the longest side length. The shortest side length is then a*r.

The perimeter is
70 = 2a (1 + r)
35 = a (1+r)
a = 35/(1+r)

Solve for a, using r values of 3/4, 4/5 and 1
When r = 3/4, a = 35/(7/4) = 20
The short side will then be 3/4 of 20, or 15. You do the others

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    two rectangles are similar, If the length of the larger is 8 and the width is 5, find the width of the smaller rectangle if the length is 6

  2. algebra

    A rectangle has a length that is 10 less than 3 times the width. If the rectangle has an area of 8 square feet, what is the width of the rectangle. I have to find the answer in meters, some please give some assistance.

  3. pre- calculus

    consider the collection of all rectangles that have lengths 2in. less than twice their widths. find the possible widths(in inches) of these rectangles if their perimeters are less than 200 in

  4. math

    The length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, then what are the length and the width?

  1. Math asap

    2.David wants to build a pen for his goat. He wants the area of the pen to be 48 square feet. If the length and width of the pen are whole numbers, which of the following could be the perimeter of the pen? A.P = 26 ft B.P = 28 ft

  2. math

    For each of two rectangles, the length to width ratio is 3:2. The ratio of the length of the larger rectangle to the length of the smaller rectangle is 7:5. What is the ratio of the area of the two rectangles?

  3. algebra

    The length of a rectangular garden is 5 ft less than 3 times its width. If the perimeter of the garden is 22 ft, find the dimensions of the garden. I will start you off with... let the width be w, then the length is 3w - 5 I am

  4. math

    A farmer needs to fence a rectangular piece of land.She wants the length of the field to be 55 feet longer than the width. If she has 1310 feet of fencing material, what should be the length and the width of the field?

  1. math geometry

    The area of a rectangular wall of a barn is 80 square feet. The length is 12 feet longer than twice its width. Find the length and width of the barn.

  2. grade 3 math

    two rectangles have an area of 36 square inches. Name two possible perimeters for the rectangles.

  3. Pre Algebra

    What are the length and width of a rectangular dog pen with a perimeter of 38 feet where the length is 2 feet less than twice the width? Write and solve a multi-step equation for the problem.

  4. algebra

    Jason is designing a rectangular garden that has area of 300 square feet. The width of the garden is five feet less than its length. Find its length and width

You can view more similar questions or ask a new question.