Length + square (second power, quadratic) - practice problems
Number of problems found: 724
- 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? - Trim the bushes
Mason is always helping him to trim the bushes. The area A had a length of 14 m and a breadth of 7 m, and if we are going to combine A and B, the equal is 215 m². The question is: what is the area of B? - 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. - An isosceles triangle
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in - 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 frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - 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? - The rectangle 6
The rectangle shown has a length (l) of 8 and a width (w) of 6.2. A second rectangle has a length of l + 2.5 and a width of w - 1.4. Find the area of the SECOND rectangle. (The area is in square units.) - A student 5
A student took the measurements of his classroom and gave the width as 7m and the length as 9m. If there is an error of 2 percent in measurement, determine the greatest value of [X+Y]/X if X and Y are the width and length of the classroom, respectively. G - A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats? - Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - A right 2
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 soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest - The length 17
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord. - Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is - Mrs. Clarke
Mrs. Clarke is teaching a 5th-grade class. She is standing 40 feet in front of Valeria. Sarah is sitting to Valeria's right. If Sarah and Mrs. Clarke are 50 feet apart, how far apart are Valeria and Sarah? - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Polynomial rectangle
If the length and width of a rectangle are (a² - 6a + 4) and ( -2a² - 9a + 3), find the area of the rectangle. - Jason 2
Jason built a rectangular tool shed that is 888 meters wide and has an area of 969696 square meters. What is the length of Jason's tool shed? - The long
The long side of a rectangular frame is 2′9″, and the short side is 1′3″. What is the area of the frame in square feet?
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