Planimetrics - math word problems - page 95 of 183
Number of problems found: 3651
- Semicircle
The ornament consists of one square and four dark semicircles. The area of the square is 4 cm². Find the area of one dark semicircle and round the result to hundreds.
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
- Rhombus sides
Find the sides of a rhombus; its area is 550 cm square, and its altitude is 20 cm.
- Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm.
- Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer.
- Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
- 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?
- RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC
- The perimeter of the rectangle
The length, l, of a rectangle is 4 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. What inequality shows the range of possible widths of the rectangle?
- Centimeters 3913
Calculate the diagonal of a square whose area equals 625 square centimeters.
- RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing lengths of the sides when a=46cm, b=85cm height=84cm.
- Dimensions 83176
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
- Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
- Crossbars 80697
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52mm and the base height is 48mm
- Right-angled 79894
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug?
- Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.
- Radius
Find the radius of the circle with area S = 200 cm².
- Perpendiculars 66274
The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle?
- Distance 64804
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?
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