Look at the two rectangles in the figure:
What is the area of the white area?
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Look at the two rectangles in the figure:
What is the area of the white area?
As we know that EFGD is a rectangle, we also know that DE is equal to 2 and DG is equal to 4
In a rectangle, each pair of opposite sides are equal and parallel, therefore:
Now we calculate the area of the orange rectangle EFGD by multiplying the length by the width:
Now we calculate the total area of the white rectangle ABCD:
The area of the entire rectangle ABCD is:
Now to find the area of the white part that is not covered by the area of the orange rectangle, we will subtract the area of the rectangle EFGD from the rectangle ABCD:
28 cm²
Look at the rectangle below.
Side AB is 2 cm long and side BC has a length of 7 cm.
What is the perimeter of the rectangle?
The white area is what's left over after removing the orange rectangle. You need the total area of rectangle ABCD to subtract the orange area from it.
Look at the figure carefully! AD = AE + ED = 2 + 2 = 4, and DC = DG + GC = 4 + 5 = 9. Add segments that lie on the same side.
Double-check that rectangle EFGD has dimensions 2 × 4. In rectangles, opposite sides are equal, so ED = FG = 2 and DG = EF = 4.
You could break the white area into smaller rectangles, but subtraction is much easier! Total area minus covered area always gives the remaining area.
Check that . The white area plus orange area should equal the total rectangle area. If they don't add up, recheck your calculations!
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