Area of a shape - high school - practice problems - page 2 of 26
Number of problems found: 502
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55. - Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.
- Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square. - Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema? - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Diameter 4111
How many balls with a diameter of 3.25 cm with a mixture in a circle with a diameter of 27 cm? - A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio. - Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm - Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
- Pentagon
Calculate the area of a regular pentagon, which diagonal is u=16. - Pipeline
How much percent has changed (reduced) the pipe cross-section area if the circular shape changed to square with the same perimeter? - Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - One side 2
One side of the rectangle is three times larger, and the other is 4 cm smaller than the side of the square. Find the area of the square if more than the area of the rectangle by 10 cm². - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
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