Examples of area of plane shapes - page 33 of 125
Number of problems found: 2495
- Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Two 2D shapes
Decide which shapes have more area: (a) a square of 8cm side, or (b) two rectangles with sides of 5cm and 15cm? Write the result as 1 or 2 (rectangles) - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - 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? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
- 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. - 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. - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase? - Roof tiles
The roof has a trapezoidal shape with bases of 15 m and 10 m, and its height is 4 meters. If a one-meter square should be used for eight tiles, how many tiles will be needed? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Right angled
We built a square with the same area as the right triangle with legs 17 cm and 17 cm. How long will be the side of the square? - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
- Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm. - Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side. - Perimeter 83352
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - Rectangular 82803
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the area is as large as possible? - Right-angled 81019
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC.
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