Planimetrics - math word problems - page 122 of 178
Number of problems found: 3557
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
- Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles.
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle.
- Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six.
- Circumference 31361
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths.
- A rectangle 4
A rectangle has an area of 300 and a perimeter of 80. What is the ratio of length and width?
- Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle?
- Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- Chocolate
How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts?
- Percentage 82623
The square in the picture has a side length of 6 cm. What percentage of the area is the colored part?
- Football 14841
The tennis court measures 40.20 meters. The football field measures 40.90 meters. How many times is the football field compared to the tennis court?
- Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage?
- Trapezium zoom
How many times should the area of the trapezoid be increased if all sides and altitudes increase 5 times?
- Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
- Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area.
- Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
- Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
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