Planimetry - math word problems - page 87 of 187
Number of problems found: 3735
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have a maximum of 275 tiles. - Mr. Bradshaw
Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The ladder's base is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How long is - Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Glass panel
A rectangular glass panel with 72 cm and 96 cm dimensions will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut? - Triangle hypotenuse circle
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you. - Triangle KLM
In the rectangular triangle KLM, where |KL|=m is the hypotenuse (sketch it!). Find the length of the leg k and the height of triangle h if the hypotenuse's segments are known MK = 5 cm and ml = 15 cm. - Paper squares
We need to cut a paper rectangle measuring 69 cm by 46 cm into the largest possible identical squares. Calculate the side length of the squares and their number. - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri - Pagans
Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sh - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Right triangle generator
Detective Harry Thomson found on the Internet a generator for the side lengths of right triangles. According to it: a = 2xy, b = x² − y², c = x² + y², where x and y are natural numbers and x > y. Is it a working generator? - Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a. - Right triangle area
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Tiles
The hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be tiled throughout the hall, and how many do we need? - Trapezoid perimeter base
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the perimeter of the trapezoid. - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - The rectangle
The rectangle has one side 8 cm smaller than the type. If you reduce the length by 6 cm and increase the width by 2 cm, you will get a square whose area is 400 cm². What are the original dimensions of the rectangle?
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