Area + square (second power, quadratic) - practice problems
Number of problems found: 1633
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
- Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-meter lawn before stopping to chat with a neighbor. How many square meters does Tara have left to mow after chatting with her neighbor?
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
- A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
- Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
- Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes.
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is
- The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one.
- Rhombus tiles
The floor of a building consists of 3000 rhombus-shaped tiles, and each of its diagonals is 45 cm and 30 cm in length. Find the cost of polishing the floor at the rate of $4 per square meter.
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square.
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
- The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.
- Ones cube
Find the volume of a cube whose total surface area is 6 m².
- The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid.
- The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
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