Planimetrics + expression of a variable from the formula - practice problems - page 2 of 47
Number of problems found: 925
- 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. - 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. - 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. - 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?
- An equilateral triangle 2
If the sides of an equilateral triangle be increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - An orange
An orange Grove has 858 trees. There are 33 rows, each with the same number of trees. How many trees are in each row - Polynomial rectangle
If the length and width of a rectangle are (a² - 6a + 4) and ( -2a² - 9a + 3), find the area of the rectangle. - A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude. - 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?
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - 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. - 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. - Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area . - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate?
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - Gardens
The area of the square garden is 3/4 of the area of the triangular garden with sides of 80 m, 50 m, and 50 m. How many meters of fence do we need to fence a square garden? - Chocolate roll
The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm? You know that 100 g of - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm.
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