Practice problems of the area of a shape - page 4 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: 2144
- An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate. - Merly
Merly prepared the table for lunch. She put a place mat that measures 5 dm long and 3 dm wide; she placed a plate on it with a diameter of 3 dm. How many mats can be seen on the table? - Nisha
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm squared and a width of 7 1/2 centimeters. What is the height of this painting? - Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m
- Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - A soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest - Edmond 2
Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was 6 square feet. The area of the new cage's floor is n square feet larger, for a total of 8 square feet. Write expressions that tell this story and fi - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Open and short circuit tests
A 4 kVA 200/400 V single phase 50 Hz transformer has the following data on O. C. (open circuit) & S. C. (short circuit) test: O. C. Test: 200 V 0.8 A 70 W (Low Voltage side) S. C. Test: 20 V 10 A 80 W (High Voltage side) Find Full Load efficiency and regu
- Ice cream company
An ice cream company is going to open new stores in Los Angeles, New York, and Orlando. The monthly cost for a square foot of rental space in each city is as follows. town; cost/ft² Los Angeles ; $5.25 New York ; $7.25 Orlando ; $4.25 The store in Los Ang - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle. - Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Januka
Januka and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent whose walls would be made of 4 identical isosceles triangles. Their lower side is 2 m long, and the height is also 2 m. Then - A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one-fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equa - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain.
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