Practice problems of the area of a shape - page 25 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: 2102
- 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? - Trapezoid
The rectangular trapezoid ABCD with a right angle at the vertex A has sides a, b, c, and d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm - 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? - Glazing workshop
Roof arches have the shape of an equilateral triangle. The length of the side of the arch was 0.6 m and the height 0.52 m. How many m² of glass are needed for glazing 48? - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - 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 - Two 2D shapes
Decide which shapes have more area: (a) a square of 8cm side; or (b) two rectangles with sides of 5cm and 15cm? Write the result as 1 or 2 (rectangles) - National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - A square
A square with a length of diagonals 12cm gives: a) Calculate the area of a square b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal. - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height - Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long leg. How many meters of the fence need to be fenced? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Percentage and rectangle
About what percentage increases the perimeter and area of a rectangle if both the sides are 12 cm and 10 cm long, we increase by 20%?
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