posted by .

A square mirror has sides measuring 2 ft. less than the sides of a square painting. If the difference between their areas is 32 ft^2, find the lengths of the sides of the mirror and the painting?

Square mirror= x-2
I don't know where to go from there...

The dimensions of a HP flat panel monitor are such that its length is 3in more than its width. If the length were doubled and if the width were decreased by 1in. the area would be increased by 150 in^2. What are the length and the width?

I don't know where to start....

  • Math -

    first one:
    translate the English into math.
    <A square mirror has sides measuring 2 ft. less than the sides of a square painting>

    let the sides of the square painting be x ft.
    Then the sides of the mirror are each x-2 ft.
    area of mirror = (x-2)(x-2)
    area of painting = (x)(x)

    <the difference in their areas is 32 ft^2
    ----> x^2 - (x-2)^2 = 32
    x^2 - (x^2 - 4x + 4 = 32
    x^2 - x^2 + 4x - 4 = 32
    4x = 36
    x = 9

    Number two:

    old width : x
    old length : x+3
    old area : x(x+3)

    new length : 2(x+3)
    new width : x+3 - 1 or x+2
    new area : 2(x+3)(x+2)

    <area is increased by 150 in^s> or
    the difference in their areas is 150

    2(x+3)(x+2) - x(x+3) = 150

    Can you take it from there?
    Let me know what you got.


    new width should be x-1
    new area should be 2(x+3)(x-1)

    equation should be
    2(x+3)(x-1) - x(x+3) = 150

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. mat117/algebra

    If the sides of a square are increased by 3 cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?
  2. Math word problem

    A small circular pool is enclosed in a square. Find the area inside the square but outside the circle?
  3. math

    Show how a 13 by 13 square can be decomposed into 11 non-overlapping squares whose side lengths are integers (with sides parallel to the sides of the big square), if the largest subsquare is 7 by 7.
  4. Mathematics

    The lengths of two opposing sides of a square are decreased by forty percent. By approximately what percent would the lengths of the other two sides have to be INCREASED so that the area of the new figure ( a rectangle) is the same …
  5. Math

    Find the perimeter of each rectangle or square. s=sides s=34 I think the shape is the square cause the square has all even sides so 34x4=136 Is this correct?
  6. Precalc

    The figure shows a 10 x 10 square centered at the origin. The darker-shaded square is the image of this square, dilated by a factor of 0.8 and rotated about the origin by exactly the number of degrees, , so that its corners touch the …
  7. 3 grade math ms sue

  8. Analytic Geometry

    A square is a quadrilateral with four equal sides. The area of a square is equal to square of its sides. The diagonal of a square is a line segment joining any two non-consecutive side. Find the area of a square and the length of its …
  9. Maths

    Dear Friends, Please help on this problem :- Cindy draws 3 Squares with different sizes. The sides of Square B is 3/5 the total sides of Square A and C. The sides of Square C is 1/7 of the total sides of Square A and B. if the area …
  10. math

    An equilateral hexagon has sides that are 2cm greater than those of a nearby square,if the perimeter of hexagon is 4 1/2times that of square what are sides lengths of them

More Similar Questions