Planimetrics - math word problems - page 94 of 184
Number of problems found: 3673
- Trapezoid and diagonals  Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm. Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.
- Circumference 82552  The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference? The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference?
- Quadrilateral 81544  In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles.
- Arithmetic 80808  The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
- The sum 18  The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°. The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°.
- Perimeter  17063   The area of the floor plan is 5400m². What will be the perimeter of the square floor plan? The area of the floor plan is 5400m². What will be the perimeter of the square floor plan?
- Perimeter  6254   Perimeter and area of the rectangle. Diagonal 260m and one side 150m Perimeter and area of the rectangle. Diagonal 260m and one side 150m
- Diagonally  2838   The square plot has an area of 324m². Calculate the length of the road that runs diagonally across the plot. The square plot has an area of 324m². Calculate the length of the road that runs diagonally across the plot.
- Calculate  Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm. Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm.
- Rectangular triangle  The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
- Perpendicular  projections  In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter. In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter.
- The ladder  The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall? The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall?
- Right  isosceles  Calculate the area of the isosceles right triangle whose perimeter is 26 cm. Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- R triangle  Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Trapezoid  Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm..
- Ninety-one 80354  Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf?
- What is 10  What is the measure of the square side whose area is (4x² + 28x+49) square units? What is the measure of the square side whose area is (4x² + 28x+49) square units?
- Square inscribed  Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm.
- Sides of the triangle  Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
- Roof  Tiles are stacked in rows on the trapezoidal-shaped roof. At the ridge are 47 tiles, and each subsequent row has one more tile than the previous row. How many tiles are covered the roof if the lowermost row has 69 tiles? Tiles are stacked in rows on the trapezoidal-shaped roof. At the ridge are 47 tiles, and each subsequent row has one more tile than the previous row. How many tiles are covered the roof if the lowermost row has 69 tiles?
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