# Quadratic equation + area - math problems

#### Number of problems found: 101

• Perimeter and legs Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg and its content area is 24 cm2.
• Triangle Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
• Cylinder diameter The surface of the cylinder is 149 cm2. The cylinder height is 6 cm. What is the diameter of this cylinder?
• Do you solve this? Determine area S of rectangle and length of its sides if its perimeter is 102 cm.
• Diagonals in the diamond The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m2. Determine the sizes of the diagonals.
• Tiles From how many tiles 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 881 tiles.
• Rectangle - sides What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
• Rhombus The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides.
• Built-up area John build up area 5 x 7 = 35 m2 with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%?
• Garden The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden?
• Similarity The area of the regular 10-gon is 563 cm2. The area of similar 10-gon is 606 dm2. What is the coefficient of similarity.
• Coins Harvey had saved up a number of 2-euro coins. He stored coins in a single layer in a square. Left 6 coins. When he make square, which has one more row, missing 35 coins. How many euros he have?
• Rectangular cuboid The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
• Trapezoid MO The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
• Cubes Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm2. Determine the length of the edges of this cubes.
• R triangle Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
• Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Heron backlaw Calculate missing side in a triangle with sides 25 and 13 and area 152.
• Right triangle Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
• Rectangle Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?

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