Planimetrics - practice problems - page 9 of 178
Number of problems found: 3542
- The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles.
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- The ratio 10
The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area.
- Colour
The square is divided into 100 squares. If you needed to color 49%, how many squares would you color?
- Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share.
- Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles.
- Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0
- Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
- Ice cream company
An ice cream company is going to open new stores in Los Angeles, New York, and Orlando. The monthly cost for a square foot of rental space in each city is as follows. town; cost/ft² Los Angeles ; $5.25 New York ; $7.25 Orlando ; $4.25 The store in Los Ang
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park.
- Apothem
Find the ratio between the two perimeters, the two areas, and two corresponding apothems of two regular hexagons whose sides are 2-3/4 inches and 4-1/8 inches.
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.
- Four points
There are 4 nonlinear points. How many triangles can form by joining them?
- A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)?
- Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle?
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides.
- Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon.
- Three ratios 2
What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3?
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