Practice problems of the area of a shape - page 40 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
- Half of halves
Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Carpet
How many crowns CZK do we pay for a carpet for a bedroom when 1m of square carpet costs 350 CZK, and the bedroom has dimensions of 4m and 6m? How many crowns do we pay for a strip around the carpet when 1m of the strip costs 15 CZK? - Paint cans
How many paint cans do we need to paint the floor in two rooms with dimensions of 6.8m x 4.5m and 6m x3.8m? One can is for 6 m². - Land
Rectangular, triangular land has an area of 30 square meters and 12 meters long leg. How many meters of fence do you need for fencing this land?
- Diamonds puzzle
The puzzle is composed of paper diamonds. One diamond has a tent 3.4 cm long and a corresponding height of 2.5 cm. How much paper in dm squared is needed for 60 diamonds? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Potatoes
When planting potatoes, 3 500 kg of seeds are consumed per 1 ha. Calculate the seed weight needed for fitting a square area with a side length of 325 meters.
- Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The area of the trapezium is 128 cm². Calculate the length of the base and the height of the trapezoid. - 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon. - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
- ISO trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid? - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed? - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
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