Planimetrics - practice problems - page 6 of 178
Number of problems found: 3542
- A farmer 9
A farmer has 3 hectares of an orchard. ½ of the land is occupied by apples, ⅙ of the remainder is occupied by lemon trees, and tree tomatoes occupy the rest of it. Find the fraction of the land occupied by tree tomatoes.
- Sonya
Sonya, Jill, and Donna run each Monday. Jill ran 6/12 of an hour, and Donna ran 5/12 of an hour. If the girls ran a total of one whole hour, what fraction of an hour did Sonya run?
- A square 4
A square plot of land has an area of 20.25 ha. The owner fenced it with Three strands of wire. What length of wire did he use for the whole plot?
- Panting
If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.?
- Rectangle 83
Rectangle land has a dimension of 8 km times 10 9/10 km. What is the area? Write your answer as a fraction or as a whole or mixed number.
- Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
- A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle.
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region.
- A contractor
A contractor wants to plaster Wall, which is 2650 m². He sends 50 masons to do the work equally. What size of the Wall does each Mason plaster?
- Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area?
- Central angle 2
What is the arc length of a circle with a radius of 12 cm and a central angle of 255 degrees? A. 8.5 cm B. 12π cm C. 24π cm D. 17π cm
- The width 2
The width of stamp M is 4/3 inches, and the length is 7/5 inches. The dimensions of stamp M are 7/6 times the dimensions of stamp P. What is the length of stamp P in inches?
- Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
- The rectangle 7
The rectangle shown has a length (l) of 8 and a width (w) of 6.2. A second rectangle has a length of l + 2.5 and a width of w - 1.4. Find the area of the SECOND rectangle.
- Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m.
- Concentric circles 4
One circle has a radius of 98 cm, and a second concentric circle has a 1m 26 cm radius. How much longer is the circumference of the second circle than that of the first?
- Distributive property 2
Show with a drawing that 5 × (6 + 2) = 5 × 6 + 5 × 2. What is the name of this property?
- Tool room
A 9' x 15' tool room was enlarged to 11' x 20'. How many square feet of floor space was added?
- A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.
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