Planimetrics - math word problems - page 40 of 185
Number of problems found: 3688
- Rectangle's dimensions
The rectangle has an area of 147 cm². One of its sides is three times longer than the other side. We increase the shorter side of the rectangle by 8 cm. By how many cm² will the new rectangle's area be larger than the original rectangle? - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - Washers Glass Area Hexagon
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - Drawing Rectangle with Area
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Rectangular meadow
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 cm². What are the dimensions of the original rectangle? - Garden diagonal length
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be? - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo - Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Theater ticket price
The clerk collected CZK 98,000 for the theater performance. There are a total of r rows in the hall. Each row has s seats. All tickets cost the same, and all were sold. What expression corresponds to the price of one ticket in CZK? - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm. - Course dimensions
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs. - Triangle angle
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Quadrilateral Interior Angles
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Parallelogram Interior Angles
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other. - Rectangle sides
Calculate the length of the side of the rectangle if you know its perimeter and the other side: a) o = 100 m: b = 2.5 m b) o = 80 cm: a = 20 mm c) o = 38.6 dm: b = 45 cm d) o = 88 mm: a = 2.5 cm - Square side
Suppose we enlarge the side of the square by half the length, and the circumference of the square increases by 24 cm. Calculate the original side length.
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