Area of a shape - high school - practice problems
Number of problems found: 502
- Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - Open and short circuit tests
A 4 kVA 200/400 V single phase 50 Hz transformer has the following data on O. C. (open circuit) & S. C. (short circuit) test: O. C. Test: 200 V 0.8 A 70 W (Low Voltage side) S. C. Test: 20 V 10 A 80 W (High Voltage side) Find Full Load efficiency and regu - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Quatrefoil
Calculate the quatrefoil area, inscribed in a square with a side of 6 cm. - Squaring the Circle
Find the side of the square with the same area as the circle of radius 18. - Square
If we increase the side of the square, increase its area of 91%. What is the percentage we increase the side of the square? - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Rectangle - area, perimeter
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Rhombus
The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides. - Euklid4
The legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle.
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