# Area + area of a shape - practice problems

#### Number of problems found: 1554

- The perimeter

The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Quadrilateral PQRS

PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - The triangle 5

The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units? - The length 14

The length of the rectangle is 6cm, and the perimeter of the rectangle is 20 cm. Find the rectangle's breadth. Find the area of the rectangle. - The length 13

The length of a rectangular garden is 3 5/11. The width is 1/4 of the length. What is the area of the garden as a mixed number? - The classroom 3

The classroom needs a new floor. The dimensions of the classroom are 34 1/2 feet by 36 1/2 feet. Find the area of the classroom. SIMPLIFY. - 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 - Rectangle 73

Suppose a rectangle has a height of 9 cm and a width of 4 cm. What is the rectangular area? - A cube

A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction? - Isosceles triangle

Find the area of an isosceles triangle whose leg is twice the base, b=1 - 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 yard

Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length. - 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? - Calculate 75014

The surface of a cube is equal to 294 square meters. Calculate the edge and volume of the cube. - A cuboid 2

A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - ABS, ARG, CONJ, RECIPROCAL

Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Calculate 74674

Calculate a cube's surface area and edge if its volume equals 3375 cubic meters. - A cone 2

A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone. - Solve 11

Solve. Round the length and width to the nearest half unit, then solve for the area and perimeter. Enter your answers as whole numbers or decimals. Margo wants a new carpet and a new wallpaper border for her bedroom. The room is 5.7 yards long and 6 6/7 y - Rafael

Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente

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