Planimetry - math word problems - page 95 of 187
Number of problems found: 3735
- Triangle perimeter
The area of an equilateral triangle is 81√3 cm². Calculate its circumference. - Window height
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window. - Diagonal length
The square plot has an area of 324 m². Calculate the length of the road that runs diagonally across the plot. - RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - Circular flowerbed
We split the circular flowerbed with a diameter 8 m by concentric circles to circles and annulus with the same area. Find the radius of the circle. - The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m. - Rectangle dimension modification
If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its area will increase by 13 cm². What were the original dimensions of - Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Square diagonal angle
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Triangle perpendicular perimeter
The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b. - ABS triangle
Point S is the center of the square ABCD. The ABS triangle has an area of 9 cm². What is the circumference of the square in cm? - Square measurements
Find the area and perimeter of a square whose diagonal is 10 cm. - Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Quadrilateral angle sizes
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. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - Square circle area
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square.
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