Examples of area of plane shapes - page 25 of 129
Number of problems found: 2563
- Goat's pen
Savannah built a rectangular pen for her goat that was 20 yards long and 15 2/5 yards wide. What is the area of this pen?
- Circular segment
Calculate the area of a circular segment if the radius r = 80 cm and the central angle is α = 110°.
- The width
The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension?
- The dough 2
A baker made 8 pounds of dough. He used 5/9 of the dough to make sandwich rolls. How much of the dough is left over?
- Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2
- Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle.
- Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen?
- Waste
How much of the waste is from a circular plate with a radius of 1 m, from which we cut a square with the highest area?
- CZ flag
What percentage of the Czech flag comprises blue, white, and red textiles?
- Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height.
- Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle?
- Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
- Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference.
- Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
- 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 of 3.25 m if a one-meter square costs 230 CZK?
- Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it?
- ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees.
- Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden?
- Square
If we increase the side of the square, increase its area of 50%. What is the percentage we increase the side of the square?
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