Pre-Algebra

posted by .

2 more problems that I'm stuck on, please help-

1.A square floor has an area of 32 m^2. Find the length of a side to the nearest tenth of a meter.

2.The height of a parallelogram is half the length of its base. the parallelogram has an area of 67 cm^2. Find the height to the nearest tenth of a centimeter.

I just need to know how to solve these two step-by-step

Thanks
-MC

  • Pre-Algebra -

    1. A square has sides the same length so to find the area, you would have x times x
    So x^2 = 32 Find the square root of 32 and go one place to the right of the decimal, round if necessary.
    2. The base of the figure would be x and since the height is two times that it would be 2x. To find area, length times width, so x times 2x. So 2x^2 = 67.
    divide both sides by 2 so that x^2=33.5
    Now, find the square root of 33.5, so out one number to the right of the decimal point (tenths) and round if necessary.
    Plug them back in to the area formula
    (length times width) to check your answers.
    Hope this helps!

  • Pre-Algebra -

    1.A square floor has an area of 32 m^2. Find the length of a side to the nearest tenth of a meter.

    Let the side of the floor be x, then
    x2=32
    x=sqrt(32)

    Use the method suggested by Bob to calculate the square root:
    5*5=25
    6*6=36
    A better estimate will be
    5+(6-5)*(32-25)/(36-25)=5.6
    compared to 5.657.

    2.The height of a parallelogram is half the length of its base. the parallelogram has an area of 67 cm^2. Find the height to the nearest tenth of a centimeter.

    Let h=height of parallelogram
    then b=base = 2h
    Area of parallelogram = 67 cm2
    then
    h*2h=67
    h2=67/2=33.5
    h=sqrt(33.5)
    Again using interpolation to find the square root
    5*5=25
    6*6=36
    h=5+(6-5)*(33.5-25)/(36-25)=5.8
    compared to 5.788 to three places.

  • Pre-Algebra -

    Thank you guys :D
    -MC

  • Pre-Algebra -

    I found the answers, thanks to both of you:
    1. 5.7m

    2. 5.8cm

    :D


    -MC

  • Pre-Algebra -

    Here's a link to the manual method, if you are interested. It is a little more difficult to work it out here because of the formatting limitations.

  • Pre-Algebra -

    Oops, the finger is faster than the brain. Here's the link:
    http://www.itl.nist.gov/div897/sqg/dads/HTML/squareRoot.html

  • Pre-Algebra -

    Thank you
    -MC

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the base of the pyramid of Khufu is a square with side 230m long. calculate the length of the diagonal of this square. too the nearest tenth of a meter. please Explain your answer...
  2. Pre-Algebra

    I'm stuck on these two problems; can someone show me how to solve them step-by-step?
  3. geometry

    The area of ETG is 400 square meters. To the nearest tenth of a meter , what is the length of side EG?
  4. Algebra 2

    Given the area of the figure, find its perimeter to the nearest tenth. 1. A = 90 ft^2; number of squares: 6. A: ?
  5. Algebra 2

    Given the area of the figure, find its perimeter to the nearest tenth. 1. A = 90 ft^2; number of squares: 6. 2. A baseball diamond is a square with an area of 8100 square feet. The length of the diagonal of any square is equal to √2 …
  6. Algebra 2

    Solving By Factoring: The length of the side of a large square is 1 cm less than twice the length of the of the side of a smaller square. The area of the large square is 33cm^2 more than the area of the small square. Find the length …
  7. Math

    A square and a parallelogram have the same area. If a side of the square is 40m and the height of the parallelogram is 20m, find the length of the corresponding base of the parallelogram.
  8. Geometry

    7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters?
  9. Geometry

    7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters?
  10. math

    a square has side length of 6 inches. a parallelogram has a base of 6 inches. the area of the square is equal to the area of the parallelogram what is the height of the parallelogram?

More Similar Questions