Practice problems of the area of a shape - page 35 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
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - ABC gifts
Arthur had 30 dollars to spend on three gifts. He spent 9 3/4 dollars on gift A and 4 1/2 dollars on gift B. How much money did he have left for gift C? - An isosceles
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Nina used
Nina used 2 liters of paint to paint a wall. The wall was a rectangle 2 meters high and 4 meters wide. How many liters of paint would she need to paint a rectangular wall which is 2.5 meters high and 8 meters wide?
- A piece 5
A piece of cloth is laid at the center of a table 80 cm long and 60 cm wide, and it leaves 5 cm all around. Find the area which is not covered by the piece of cloth. - Little 2
Little fields farm lies on a rectangular plot of land that measures 2 2/4 miles in length and 2 2/3 miles in width. What is its area in square miles? - Mrs Holland
Mrs. Holland wants to paint her garage wall. The wall measures 6 m x 3 m Each can of paint covers 5 m². Each can cost £7.50 How much will it cost Mrs. Holland to paint her garage wall? - Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is:
- The schoolyard
The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged? - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Flooring a room
Find the cost of flooring a room 6.5 m by 5 m with square tiles of sides 25 cm at the rate of rupees 9.40 per tile. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?
- Map scale
The rectangular plot has a scale of 1:10000 area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit² Square 2 2 units² Square 3 4 units2 - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Tiles
How many square tiles with an area of 121 cm² have to be ordered for the square room's paving with a side length of 2.75 meters?
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