Area + expression of a variable from the formula - practice problems - page 6 of 48
Number of problems found: 942
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm². - Cylinder 80733
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Tom sold
Tom sold 75% of his farm, and the number of acres sold was 150. How many acres were there on the farm before selling?
- Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? - RT area
A right triangle has an area of 54cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg. - The area 2
The area of a rectangular piece of tablecloth is 3/4 m². Its width is 3/10 m. What is its length? - Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Parallelogram 79744
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides.
- Playground 79454
In Kocourkov, they decided to build a children's playground and volleyball courts. The volleyball court will have dimensions of 18m x 19m. The playground will have a square face. The area of both fields will be the same. What will be the dimensions of t - Determine 79364
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Dimensions 79294
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Rectangle 78924
The length of the rectangle is 1 cm more than its width. Its content is 4 cm². What is its width? - Trapezoid 78904
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm.
- Fenced 78064
I bought 51m of wire, fenced off a square garden, and had 3m of wire left. What is the size of the garden? - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz - Trapezoid and bases
Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base. - Square field
The perimeter of a square field is 64 m. Find the cost of cementing the field at the cost of 240 USD per square meter. - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile?
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