Planimetrics - math word problems - page 82 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3380
- 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. - The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid. - Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle. - Playground 79454
In Kocourkov, they decided to build a children's playground and volleyball courts. The volleyball court will have dimensions of 18m x 19m. The playground will have a square face. The area of both fields will be the same. What will be the dimensions of t
- Calculated 4765
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23dm - Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Trapezoid 15
The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4 - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420?
- Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - 60-meter-long 8472
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Exchanged 4627
Mr. Sova had a plot of land with an area of 3600 m². However, he exchanged it for another square plot, which was 5 m larger. How many m² does the larger land now have? - Perimeter 24701
The sales stand floor plan consists of squares and has an area of 48 m². What is the perimeter of these booths? a. 34 m b. 36 m c. 40 m d. 44 m
- Image reduction
To say that I am mathematically challenged is a gross understatement! I'm trying to help my friend determine how to calculate percentages of reduction or enlargement for a quilt pattern. She is creating a drawing of a cute picture that will become a piece - Calculate 81757
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a. - Circumference 4956
Calculate the circumference of a diamond whose area is 288cm square and one diagonal is 12.4cm. - Diameter 4078
What is the diameter of the wheel when it turns 455 times per 1 km? They rounded to the nearest cm. - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz
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