Practice problems of the area of a shape - page 15 of 106
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: 2101
- Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond? - The circumference
The circumference of the rectangle is 62 cm. A square whose side is as long as one side of a rectangle has a circumference of 56 cm. What is the area of each shape? - Area of rectangle
How many times will we increase the area of the rectangle if we increase twice the length and at the same time we decrease the width by half? - Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen? - Cutting square
We cut the circle with the highest possible diameter from a square with a side of 30 cm. How many percents of the square area is this circle? - A trapezoid
A trapezoid is 75 ft wide on top, 85 ft on the bottom, and the height is 120 ft. What is its area in the square yds? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Square
Square JKLM has sides of a length of 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm². - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm? - Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard. - Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x. - Argicultural field
The field has a rectangular shape with a width of 180 m and a circumference of 940 m. How many hectares of the acreage has a field? - Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Triangle eq
Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and area. - Square plate
The locksmith cut a square metal plate with a sidelong 6 dm into two identical rectangular openings with 2.5 dm and 2 dm dimensions. Calculate the remainder of the square plate. - Percentage of waste
In a square plate with a side 75 cm, we cut four same circles. Calculate the percentage of waste. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - 7 triangle
The triangle area is 26.7 cm². find the side length l if appropriate height hl = 45.3 cm.
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