# Equation + area - practice problems

#### Number of problems found: 162

- Side wall planes

Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - Peter's rectangle

Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63 - The ratio 7

The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares. - Circle segment

A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment? - Squares

From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - What is

What is the circumference of an isosceles trapezoid with a content of 106.75 cm^{ 2 }, the lengths of the sides are in the ratio 1: 3: 2: 1 and the bases are 6.1 cm apart? - The width

The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden? - Alexandra

Alexandra made a rectangular quilt the measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve. - Louis

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - Poisson distribution - daisies

The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow. - The surface

The surface of the cylinder is 1570 cm^{2}, its height is 15 cm. Find its volume and radius of the base. - The surface

The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Two gardens

The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i - Truncated pyramid

The truncated regular quadrilateral pyramid has a volume of 74 cm^{3}, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's content. Calculate the area of the upper base. - A Cartesian framework

1. In a Cartesian framework, the functions f and g we know that: the function (f) is defined by f (x) = 2x ^ 2, the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, point (C) is the point of intersection of the graph - A isosceles

A isosceles triangle has an area of 168 cm² and it's added height and base is 370 cm. What are the measurements of it's height and base? - The block

The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - A rectangle 4

A rectangle has area 300 and perimeter 80. what is the ratio of the length and width? - Harry

Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi - The cylinder

In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.

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