Examples of area of plane shapes - page 27 of 129
Number of problems found: 2574
- Reduced - rectangles
The dimensions of the rectangle are a = 42 cm, and b = 91cm. Determine the perimeter and area of the rectangle, which is reduced in size compared to the original rectangle in the ratio 6:7. - Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors. - Mis Harding
Mis Harding will change her tiles; the yards are 2 1/2 yards and 2 1/2 yards on the side. What is her area A 6 1/4 B 4 1/2 C 8 1/2 D 5 1/4 - The crane
The construction crane has a 20m long arm. What construction area in ares can it handle from this crane if it rotates around its axis? - Goat's pen
Savannah built a rectangular pen for her goat that was 20 yards long and 15 2/5 yards wide. What is the area of this pen? - Circular segment
Calculate the area of a circular segment if the radius r = 80 cm and the central angle is α = 110°. - The width
The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension? - The dough 2
A baker made 8 pounds of dough. He used 5/9 of the dough to make sandwich rolls. How much of the dough is left over? - What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units? - Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 - 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. - 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? - Waste
How much of the waste is from a circular plate with a radius of 1 m, from which we cut a square with the highest area? - A square
A square with a length of diagonals 12cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal. - CZ flag
What percentage of the Czech flag comprises blue, white, and red textiles? - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference. - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
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