Planimetry - math word problems - page 32 of 72
Number of problems found: 1438
- Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Pool sidewalk tiles
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk? - Triangle perimeter sides
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Garden G
The rectangular, trapezoidal garden has a base length of 81 m, 76 m, and a vertical arm of 12 m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - Plot exchange area
Mr. Nový exchanged his rectangular plot of 5.2 hectares with his neighbor for two. The first plot has the shape of a square with a side of 70 m, and the second has the shape of a rectangle with dimensions of 110 m and 410 m. After the exchange, does the n - Tree planting area
The forestry plant plants new trees on a rectangular area 1.8 km long and 880 m wide. In the first week, they planted 3/11 of the total area. In the second week, they had 4/9 of the total area. How many hectares are left to plant? - Balloon flight
From the pilgrimage, Nicole has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nicole and is 145 cm horizontally away from her. How high is the balloon from the ground? - Total Sidewalk Area
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk. - Approximate Flower Bed Area
They planted 5,600 tulips in the garden bed, an average of 50 tulips per 1 m². What is the approximate size of the flower bed? - Trapezoid garden width
The trapezoidal garden has parallel sides of 14 m and 20 m, and its area is 136 square meters. How wide is the garden? - A trapezoid 3
A trapezoid ABCD has a base length of a = 120 mm, c = 86 mm, and an area A = 2,575 mm². Find the height of the trapezoid. - Bulletin board
Tripp and Paul are using yellow craft paper to cover a bulletin board. The board is 11 feet wide and 7 feet tall. The craft paper comes in a roll that is 1 yard wide. They can roll it out and cut it to any length, but the paper will always be 1 yard wide. - Isosceles
An isosceles trapezoid ABCD has a perimeter of 39 cm. Base AB is 7 cm longer than base CD, and each leg is 2 cm shorter than base CD. Calculate the length of base CD. - Triangle angle sizes
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle. - Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides. - The parallelogram
The parallelogram has one side 2 dm long, which is one-sixth of its circumference. How many cm does the other side of the parallelogram measure? - Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'. - Garden irrigation area
The rain gauge showed that an eight-millimeter layer of water fell on Mr. Severa's square garden. If Mr. Severa wanted to achieve the same irrigation of the garden, he would have to use 200 full sixteen-liter watering cans. calculate the area of his garde
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