Planimetry - practice problems - page 8 of 187
Number of problems found: 3739
- Four plates
Four equal maximum-sized circular plates are cut from a square sheet of paper with an area of 784 cm². Calculate the circumference of each plate. - The bedroom
The area of the rectangular bedroom is 136 5/8 square feet. If its width is 12 3/4 feet, find its length in simplest form. - An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate. - A right triangle
A right triangle has legs with lengths of 24 cm and 21 cm if the length of the hypotenuse, in cm, can be written in the form of 3 sqrt(d), then what is the value of d? - A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree. - Native plants
In a garden, 5/6 of the area is filled with native plants. The native plants take up 107/4 m². Let g represent the total area of the garden. Find g = total area of the garden. - Square lawn A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - Rhombus = area, diagonal
The area of a rhombus is 144 cm². One diagonal is twice the length of the other. How long is the shorter diagonal? - 765 chairs
765 chairs are to be arranged in rows such that the number of chairs in each row equals the number of rows. How many chairs need to be removed to complete this arrangement? - FGH right triangle
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g? - A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m². - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and whose non-parallel sides are 14 m and 13 m. Find the area of the field. - An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130 cm. What are the lengths of the other sides . - The sum 47
The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers. - Harold
Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - Polynomial rectangle
If the length and width of a rectangle are (a² - 6a + 4) and ( -2a² - 9a + 3), find the area of the rectangle. - Angles sum 180
In triangle ABC, the measure of ∠A is 30°, and the measure of ∠C is 90°. What is the measure of ∠B? - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles.
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