Practice problems of the area of a shape - page 29 of 107
The area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m2 or 1 cm2 etc. Every unit of length has a corresponding unit of area. We can measure areas in square meters (m2), square centimeters (cm2), square millimeters (mm2), square kilometers (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth.The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape.
Number of problems found: 2129
- Flowerbed 22573
Around a round flowerbed with a diameter of 6m should be made a sidewalk with a width of 0.5m. How many square meters of material do we need? - Rectangular 21353
The rectangular plot has an area of 480 m². One of its dimensions is 30 m. Calculate the second dimension of the plot. - Dimensions 21153
The sheet of paper has the dimensions a = 28 cm, and b = 8 cm. How many 4 cm squares can we cut from the paper? (draw a picture) - Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
- 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Calculate 6339
Calculate the missing side and the area of the ABCD trapezoid if you know: side a = 7.5 side b = 3.6 side d = 4.4 height v = 3.4 circumference o = 19 c =? S =? - Parallelogram 5509
The parallelogram has a side 6 cm long, and the height on this side is 4 cm long. What is the height of an isosceles triangle with a base 6 cm long and the same area? - Corresponding 5386
A football field for an interstate match must be between 100 m and 110 m long and between 64 m and 75 m wide. Calculate the area of the smallest and largest field corresponding to the conditions. - Calculate 4382
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window.
- Calculate 3987
The diamond has an area of 94.24 square meters and one diagonal of 7.6 cm. Calculate the length of the second diagonal. - Equilateral 2543
a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s - Rectangles
Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm. - The length 10
The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle? - Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- Rectangular land
On a rectangular land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied? - Playground
On the special playground, there are 81 square sectors, each with a side of 5 m. How many players can fit on the playground if each player needs a 75 m² area to play? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
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