Planimetry - math word problems - page 43 of 187
Number of problems found: 3739
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land. - Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - 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°? - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs. - Pond radius calculation
Mr. Mark wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Garden square conversion
The garden is 1 cm wide and 90 km long when we turn it into a square with the same area. How long will the square be? - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD. - Triangle circumference calculation
The triangle has a perimeter of 19.5 cm. From the formula for calculating its circumference, express successively unknown a, b, c. Then over by substituting: a = 8 cm; b = 6.5 cm; c = 5 cm. (always count the expressed side) - Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12 cm, b = 13 cm, c = 7 cm. Find the angles beta and gamma and height v. - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Rectangle side measurement
One side of the rectangle is 8 cm long. When we enlarge the dimensions of this rectangle four times, we get a rectangle with a circumference of exactly 1 m. How many mm does the other side of the unmagnified rectangle measure? - The size
The sides of the trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60 cm, calculate the length of each side. - Trapezoid Circumference Area
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area. - KLMN trapezoid
The KLMN trapezoid has bases KL 40 cm and MN 16 cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K? - Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land? - Circle annulus
There are two concentric circles in the figure. The chord of the larger circle, 10 cm long, is tangent to the smaller circle. What does annulus have? - Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long?
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