Practice problems of the area of a shape - page 21 of 108
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: 2146
- A rectangle 8
A rectangle measuring 6 cm and 4 cm is enlarged by the ratio of 3:1. What is the area of the enlarged rectangle? - Parallerogram
The ABCD parallelogram is a = 2.5 cm, height to side a is 7.2 cm, and height to side b is 4 cm. Find the side length b. - Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle? - Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section?
- Equilateral triangle v3
Find the area of the colored gray part. An equilateral triangle has a side length of 8 cm. Arc centers are the vertices of a triangle. - Isosceles trapezoid
Calculate the circumference and the area of the isosceles trapezoid if you know the size of the bases is 8 and 12 cm, and the size of the arms is 5 cm. - Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus. - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can carve from it? - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid.
- Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Diagonal
The diagonal of the rectangle has a length of 41.4 cm. The angle between the diagonal and longer side of the rectangle is 26°. Calculate the area of the rectangle. - Windows
Calculate the masonry area to build a wall with dimensions of 18 m × 5 m with 3 windows of size 51 cm × 51 cm. - Carpet
The room has a rectangular shape with dimensions 5 m × 2.1 m. How many meters of carpet does a width of 2 need to buy to cover the entire room? - Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5.
- Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle? - Calculate 83366
Calculate the side a of triangle ABC if we know va=8cm, b=16cm, vb=10cm. - Percentage 82623
The square in the picture has a side length of 6 cm. What percentage of the content is the colored part? - (contents) 82453
Determine the actual dimensions of the kitchen and its area (contents) if its dimensions on the plan with a scale of 1:200 are 3.5 cm and 4 cm. - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120
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