Planimetry - math word problems - page 115 of 187
Number of problems found: 3735
- Ski slope decrease
A ski slope drops 220 m in altitude over a horizontal distance of 800 m. Determine the percentage gradient. - Screens
The area of a 25-inch TV screen is 300 in² and the area of a 40-inch TV screen is 768 in². What percentage of the larger screen's area is the smaller screen's area? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase? - The sides
The sides of a rectangle are in the ratio 3:5, and its perimeter is 72 cm. Calculate: a) the lengths of both sides of the rectangle, b) the area of the rectangle, c) the length of the diagonals. - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Kite
John has a kite, which is diamond-shaped (rhombus). Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence. - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Triangle area perimeter
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Vector magnitudes
Determine the magnitude of the vectors u = (2,4) and v = (-3,3) - Triangle circumference calculation
The sides of the triangle are in a ratio of 3:4:6. One side of it measures 21 cm. Calculate its circumference. - Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400 m? - Diamond - Equilateral Triangles
We composed the diamond of four equilateral triangles with a side length of 7 cm. What is its perimeter? - Centimeters - trapezoid
The area of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Find the height of the trapezoid in centimeters. - Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible. - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
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