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: 2129
- 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? - Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long. - 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. - Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Circumference 67334
What is the area and circumference of a diamond whose diagonals are 7 dm and 12dm in length and 6 dm in height? - Percentage 66714
They cut a full circle from a square plate with a side of 200 mm. What percentage is waste? - Calculate 48073
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °.
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