Find the area of the following rectangles:
Find the area of a rectangle whose length is 12\text{ cm} and width is 5\text{ cm}.
Find the area of the following squares:
Find in \text{m}^{2} the area of a square of side 290 \text{ cm}.
Find the area of the following triangles:
If the area of a rectangle is 99\text{ cm}^2 and its width is 9\text{ cm}, find its length.
Find the length of each side of the square whose area is 64\text{ cm}^2.
Find the value of h in the triangle if its area is 120\text{ cm}^2.
Find the base of the triangle whose area is 17.5\text{ cm}^2 and height is 5\text{ cm}.
Find the area of the following parallelograms:
Find the area of a parallelogram whose base is 10\text{ cm} and height is 5\text{ cm}.
Find the base length of a parallelogram whose area is 96\text{ cm}^2 and perpendicular height is 8\text{ cm}.
Find the area of the following trapeziums:
Find the value of x if the area of the trapezium shown is 65\text{ cm}^2.
Find the area of the following rhombuses:
Find the area of the following kites:
The area of a kite is 308\text{ cm}^2 and one of the diagonals is 47\text{ cm}. If the length of the other diagonal is y\text{ cm}, what is the exact value of y?
Find the area of the following circles to one decimal place:
Find the area of the following circles. Round your answers to one decimal place.
A circle of radius 3.5 \text{ cm}.
A circle of diameter 22 \text{ m}.
Calculate the area of the following figure, correct to one decimal place.
Find the areas of the following figures to two decimal places:
Consider the following sector:
Calculate the perimeter. Round your answer to one decimal place.
Calculate the area. Round your answer to four decimal places.
Consider the following sector:
Calculate the perimeter to two decimal places.
Calculate the area to two decimal places.
The area of a circle is 352\text{ cm}^2.
If its radius is r\text{ cm}, find r, correct to two decimal places.
Using the rounded value from the previous part, find the circumference of the circle. Round your answer to one decimal place.
Calculate the area of the following sectors.
Round your answer to one decimal place.
Calculate the area of the following sectors.
Round your answer to two decimal places.
The area of the circle is 10 \text{ cm}^{2}. Find the area of the shaded sector.
Round your answer to two decimal places.
Find the area of the sector of a circle of radius 16 \text{ cm} if the sector subtends an angle with a measure of 78 \degree at the centre.
Round your answer to two decimal places.
Sharon has purchased a rectangular piece of fabric measuring 12\text{ m} in length and 7\text{ m} in width. What is the area of the largest triangular piece she can cut out from it?
A rectangular sign casts a shadow on the ground like the one pictured.
What is the area of the shadow?
A kitchen floor is tiled with the tiles shown in the picture. If 50 tiles are needed to tile the floor, find the total area of the floor.
Rectangular farms around Australia were measured and their dimensions are recorded in the table.
Use a calculator to find the area of each farm (in \text{m}^{2}).
| \text{Farm} | \text{Length }(\text{m}) | \text{Width }(\text{m}) | \text{Area }(\text{m}^{2}) |
|---|---|---|---|
| 1 | 200 | 100 | |
| 2 | 350 | 21 | |
| 3 | 100 | 24 | |
| 4 | 400 | 40 | |
| 5 | 100 | 100 |
Which farms have an area of more than 1 \text{ ha}?
Make sure you choose all correct answers.
Which farms have an area of less than 1 \text{ ha}?
Which farm is exactly 1 \text{ ha}?
A gutter running along the roof of a house has a cross-section in the shape of a triangle as shown:
If the area of the cross-section is 40\text{ cm}^2, and the length of the base of the gutter is 10\text{ cm}, find the perpendicular height h of the gutter.
A quilt is made by sewing together 4 identical parallelograms as shown in the following figure:
If the total area of the quilt is 1944\text{ cm}^2, calculate the perpendicular height of each parallelogram piece.
