the area of a certain rectangle is 288 yd squared. the perimeter is 68 yards. f you double the length and width what will be the area and perimeter of the new rectangle

  1. 👍 2
  2. 👎 0
  3. 👁 795
  1. Area (A) = Lw = 288
    Perimeter (P) = 2L + 2w = 68
    L = length, w = width
    Solve 2L + 2w = 68 for either L or w
    I'll choose L
    2L + 2w = 68
    2L = 68 - 2w
    2L = 2(34 - w)
    L = 34 - w

    Substitute L = 34 - w, for L in
    A = Lw = 288
    (34 - w)(w) = 288

    34w - w^2 = 288
    w^2 - 34w + 288 = 0
    w = 18, 16
    So, this certain rectangle has dimensions of 18 by 16.

    you should be able to calculate the area and perimeter of the new rectangle now. (double the length and width and solve the equations)

    1. 👍 0
    2. 👎 0
  2. r = 2/3t + v, for t

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

  2. Algebra

    The rectangle shown has a perimeter of 118 cm and the given area. Its length is 4 more than four times its width. Write and solve a system of equations to find the dimensions of the rectangle. (rectangle has an area of 528 cm^2)

  3. math

    A rectangle is reduced by a scale factor of One-fourth. A large rectangle has a length of 16 and width of 12. A smaller rectangle has length of 4 and width of 3. Which choices show the ratio of the area of the smaller rectangle to

  4. Algebra

    The width of a rectangle is 3 yards less than its length. the perimeter is 130 yards. Find the length and width of the rectangle

  1. Math

    1. What is a reasonable distance between two cities? • 200 km

  2. Math

    If two cylinders are similar, find the scale factor of the smaller figure to the larger figure. The surface area of the smaller area is 20 pi yards squared. The surface area of the larger cylinder is 125 pi yards squared. No

  3. Calculus

    A rectangle is inscribed in a semicircle with radius 8. The variable x is half the length of the rectangle. Write an expressions for the perimeter and area of the rectangle in terms of x.

  4. math

    Solve this problem plz... A rectangle has an area of 288 cm square.if the width is decreased by 1cm and length is increased by 1 cm the area would decreasedby 3 cm square.fin the original dimension of the rectangle.

  1. math

    the area of a rectangle is 100 square inches. the perimeter of the rectangle is 40 inches. a second rectangle has the same area but a different perimeter. is the second rectangle a square? explain why or why not.

  2. Math

    The length of a rectangle is twice its width if the area of the rectangle is 200 m squared, find its perimeter.

  3. Algbra 2

    The length of a rectangle is 3 yards less than 3 times the width. If the perimeter is 50 yards, find the length and the width of the rectangle.

  4. geometry

    A rectangle with an area of 32 inches squared has one side measuring 4 inches. A similar rectangle has an area of 288 inches squared. How long is the longer side in the larger rectangle?

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