Problem 2. Find the base of a rectangle with an area of 100 units and a height of 5 units.
Step 1. Write the formula for the area of a rectangle Area= b*h
Step 2. Plug in what you know 100 = b * 5
Step 3 Divide each side by 5
Problem 3. Find the area of a rectangle with a diagonal of 15 units and a side of 9 units.
Step 1. Plug in what you know A = b * 9
Step 2. The diagonal divides the rectangle into a right triangle. You can use the Pythagorean Theorem to find the base.
A = 9 c= 15 b=your unknown (see picture below)
9^2+ b^2= 15^2
b = 12
Step 3 Use your area formula of a rectangle
Area = b*h
Step 4. 20 =b and b = the base of the rectangle
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Find the area of a rectangle with a base of 10 units and a height of 8 units.
One can easily calculate the area of a rectangle from the vertices of a rectangle. The vertices are the points where two or more straight lines meet. The base and height of the rectangle is the difference between the values of the vertices.
For example: What is the area of a rectangle with the following coordinates, (1,2)(1,0) (4,2)(4,0)
The base and height are just the difference between these values.
Base = 4-1=3, Height = 2-0= 2
Next, multiply the base and the height = 3*2=6 unit^2 is the area
Another method is to plot the points on a coordinate plane and count the number of squares.