The given parallelogram is formed into a rectangle:
Find the area of the rectangle.
Hence, find the area of the parallelogram.
The given parallelogram is formed into a rectangle:
Find an expression for the area of the rectangle in terms of b and h.
Hence, find an expression for the area of the parallelogram in terms of b and h.
Find the area of the following parallelograms:
Determine whether the following pairs of values could be the dimensions of a parallelogram with an area of 70 \,\text{mm}^2.
Base =10 \,\text{mm}, Height =7 \,\text{mm}
Base =7 \,\text{mm}, Height =10 \,\text{mm}
Base =1 \,\text{mm}, Height =70 \,\text{mm}
Base =2 \,\text{mm}, Height =70 \,\text{mm}
The given trapezoid is split into a rectangle and a right-angled triangle:
Find the area of the rectangle.
Find the area of the triangle.
Hence, find the area of the trapezoid.
The given trapezoid is formed into a rectangle:
Find the length, l, of the rectangle.
Hence, find the area of the trapezoid.
Two identical trapezia are put together to make a parallelogram:
Find the area of the entire parallelogram.
Find the area of one of the trapezia.
Two identical trapezia are put together to make a rectangle:
Find the area of the entire rectangle.
Find the area of one of the trapezia.
Two identical trapezia are put together to make a parallelogram:
Find an expression for the area of the entire parallelogram in terms of a, b and h.
Find an expression for the area of one trapezia in terms of a, b and h.
Find the area of the following trapezoids:
The given rhombus can be split into two triangles:
Find the area of one triangle.
Hence, find the area of the rhombus.
The given rhombus is formed into a rectangle:
Find the length of the rectangle in terms of y.
Find the width of the rectangle in terms of x.
Find the area of the rectangle in terms of x and y.
Hence, find the area of the rhombus in terms of x and y.
Find the area of the following rhombuses:
Determine whether the following pairs of values could be the diagonal lengths, x and y of a rhombus with an area of 9 \,\text{m}^2.
x = 2 \,\text{m} and y = 9 \,\text{m}.
x = 6 \,\text{m} and y = 3 \,\text{m}.
x = 12 \,\text{m} and y = 3 \,\text{m}.
x = 6 \,\text{m} and y = 6 \,\text{m}.
The given kite can be split into two triangles:
Find the area of one of the triangles.
Hence, find the area of the kite.
The given kite is formed into a rectangle:
Find the length of the rectangle.
Find the width of the rectangle.
Hence, find the area of the kite.
The given kite is formed into a rectangle:
Find the length of the rectangle in terms of y.
Find the width of the rectangle in terms of x.
Find the area of the rectangle in terms of x and y.
Hence, find the area of the kite in terms of x and y.
Find the area of the following kites:
Find the area of the following quadrilaterals:
For each of the following rhombuses, find the value of the pronumeral:
A = 64 \text{ cm}^{2}
A = 128 \text{ cm}^{2}
Rhombus ABCD has an area of \\ A = 55\,\text{cm}^2:
Given the diagonal BD = 11 \,\text{cm}, and \\ AC = x \,\text{cm}, find the value of x.
Rhombus ABCD has an area of 13 \text{ cm}^{2}:
If diagonal AC = 2, and diagonal BD = y, find the value of y.
The following kite has an area of 48 \,\text{cm}^2. The length of one of its diagonals is 12 \,\text{cm}:
Find the length of the other diagonal, k.
For each of the following kites, find the value of k:
A = 15 \text{ cm}^{2}
A = 22.5 \text{ cm}^{2}
A = 56 \text{ cm}^{2}
A = 137.5 \text{ cm}^{2}
For each of the following trapezia, find the value of the pronumeral:
A = 42 \,\text{mm}^2
A = 36 \text{ cm}^{2}
A = 20 \text{ m}^{2}
A = 24 \text{ cm}^{2}
Find the value of x if the area of the trapezoid shown is 65 \text{ cm}^{2}:
Find the perpendicular height, h, of a parallelogram that has an area of 45 \,\text{cm}^2 and a base of 5 \,\text{cm}.
Find the base length, b, of a parallelogram that has an area of \, 216 \,\text{mm}^2 and a perpendicular height of 12 \,\text{mm}.
The area of a kite is 640 \text{ cm}^{2} and one of the diagonals is 59 \text{ cm}. If the length of the other diagonal is y \text{ cm}, find the value of y, rounded to two decimal places. Explain how you got your answer.
Complete the table of base and height measurements for three parallelograms that all have an area of 24 \,\text{m}^2:
| \text{Area}\, (\text{m}^2) | \text{Base} \, (\text{m}) | \text{Height}\, (\text{m}) |
|---|---|---|
| 24 | 8 | |
| 24 | 12 | |
| 24 | 6 |
Complete the table og the lengths of diagonal x and diagonal y for three kites that all have an area of 36 \,\text{mm}^2:
| \text{Area} \ (\text{mm}^2) | \text{Diagonal}, x \ (\text{mm}) | \text{Diagonal}, y \ (\text{mm}) |
|---|---|---|
| 36 | 18 | |
| 36 | 24 | |
| 36 | 12 |