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  • Question
  • If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is


  • Options
  • A. a
  • B. 2a
  • C. 5a
  • D. 3a

  • Correct Answer
  • 2a 

    Explanation

    Area of a square with side a = aČ sq unts

    Area of a triangle with base a = (1/2) * a * h sq.unts

    aČ =1/2 *a *h

    => h = 2a

    altitude of the triangle is 2a


  • Area problems


    Search Results


    • 1. The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

    • Options
    • A. 2:25
    • B. 3:25
    • C. 4:25
    • D. 6:25
    • Discuss
    • 2. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

    • Options
    • A. 40
    • B. 120
    • C. 50
    • D. None of these
    • Discuss
    • 3. Three medians AD, BE and CF of ?ABC intersect at G; Area of ?ABC is 36 sq cm. Then the area of ?CGE is

    • Options
    • A. 12 sq cm
    • B. 6 sq cm
    • C. 9 sq cm
    • D. 18 sq cm
    • Discuss
    • 4. The area of a triangle with vertices A (0, 8) , O (0,0) and B (5, 0) is:

    • Options
    • A. 8 sq. units
    • B. 13 sq. units
    • C. 20 sq. units
    • D. 40 sq. units
    • Discuss
    • 5. What is the area (in sq cm) of a circle whose circumference is 22 cm?

    • Options
    • A. 77
    • B. 38.5
    • C. 44
    • D. 88
    • Discuss
    • 6. Find the perimeter and area of a square that has a side of length 14 feet.

    • Options
    • A. 176
    • B. 186
    • C. 196
    • D. 206
    • Discuss
    • 7. If a parallelogram with area p, a triangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then

    • Options
    • A. P=R
    • B. P=A
    • C. P=A/2
    • D. P=2R
    • Discuss
    • 8. A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

    • Options
    • A. 10%
    • B. 20%
    • C. 30%
    • D. 40%
    • Discuss
    • 9. The area of a rectangle is 80 cm.If its length is 16 cm, what is its width?

    • Options
    • A. 5cm
    • B. 10cm
    • C. 15cm
    • D. 20cm
    • Discuss
    • 10. The area of a square is 49 mm. What is the length of each side?

    • Options
    • A. 5mm
    • B. 6mm
    • C. 7mm
    • D. 8mm
    • Discuss


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