Planimetrics - practice problems - page 3 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3378
- The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? - A rectangle 13
A rectangle has an area of 15 square inches. What is the missing side length if one side length is 1 2/3 inches wide? - The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - Three angles
The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles. - Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - A triangle 9
A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base? - A sticky
A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note? - Rectangle - general expression
Find the area of a rectangle whose width is x-2 units and length of x+4 units. - The 738
The area of a rectangular garden is 2400 sq m. Find the width of the garden if its length is 40m. - The perimeter 12
The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q? - For triangle
For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle. - The length 18
The length of a rectangle is three times its width. Suppose the perimeter is 96 cm. Calculate the width of the rectangle. - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - The perimeter 10
The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle. - Length and width
The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm. - Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - What is 25
What is the trunk of 8 and 10? - FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m².
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