Planimetry - practice problems - page 8 of 72
Number of problems found: 1438
- Existence of a triangle
Can the sides of a triangle have lengths of 4, 18, and 20? - Square yards
What is 4 1/3 yards times 5 2/3 yards? - Two sides 2
Two sides of a triangle are 12 and 15, and the perimeter is 40. Find the other side. - Nisha
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33 cm squared and a width of 7 1/2 centimeters. What is the height of this painting? - Linda
Linda gave her sister 2/5 of her money, spent 1/3, and saved the remainder. If Linda saved $28.00, how much money did she have at first? - 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. - 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 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. - 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? - Four points
There are 4 nonlinear points. How many triangles can form by joining them?
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