Practice problems of the area of a shape - page 26 of 107
The area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m2 or 1 cm2 etc. Every unit of length has a corresponding unit of area. We can measure areas in square meters (m2), square centimeters (cm2), square millimeters (mm2), square kilometers (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth.The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape.
Number of problems found: 2140
- Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Octagonal mat
Octagonal mat formed from a square plate with a side of 40 cm so that every corner cut the isosceles triangle with leg 3.6 cm. What is the area of one mat? - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Math heart
A stylized heart shape is created from a square with a side of 5 cm and two semicircles over its sides. Calculate the area and its circumference.
- Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Carpet
What is the price of a square carpet side length 3.25 m if one-meter square cost 230 CZK? - Gardeners
Gardeners pay the city to lease one square meter of land CZK 3. How much to pay each year? a) for 2 hectares b) 2 are 150 m² - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There left six cakes for parents. How many cakes were made by the grandmother? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
- Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg. - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - Angles
Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm. - Circles
The areas of the two circles are in the ratio 2:20. The larger circle has a diameter 20. Calculate the radius of the smaller circle. - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152.
- Jewel
Rhombus-shaped jewel has an area of 93 mm², and the edge is long 13.2 mm. Calculate the size of the acute rhombus angle. - Diameter 82242
Around the circular pool with a diameter of 5.5 m is a circular wooden terrace with a width of 130 cm. What is the area size of this terrace? - Equilateral 81770
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32mm, and the side of the triangle, a=20.8mm. - Perimeters 81399
Two squares are given. The first has a side length of 5 cm, the second 10 cm. Write the ratio of: for a- of their sides for b- their perimeters for c- their areas - Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm².
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