Area of a shape - high school - practice problems - page 4 of 26
Number of problems found: 502
- Rectangle 79084
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate the content in m². - Compressive 34391
The excavator has an area of belts 5 m2, and a pressure of 40 kPa is created. How much compressive force does the excavator exert on the road? - Tiles
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains? - Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the dimensions of rectangles A and B.
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - 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. - 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. - Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm². - Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors. - 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?
- 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 - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - ISO Triangle V2
The perimeter of the isosceles triangle is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=9 cm.
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