How do i solve for this?
1 answer:
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We have 3⁴ = 81, so we can factorize this as a difference of squares twice:
Depending on the precise definition of "completely" in this context, you can go a bit further and factorize as yet another difference of squares:
And if you're working over the field of complex numbers, you can go even further. For instance,
But I think you'd be fine stopping at the first result,
The area of the composite figure from the image attached is 112.5 units²
<h3>What is the area of a composite figure?</h3>The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
- A parallelogram
- A rectangle
- A triangle
The area of a parallelogram = b × h
where;
- b & h refers to the length of the two opposite diagonal lines.
The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle
where;
- Base = b
- Height = h
The area of the triangle
The area of the triangle
The area of the triangle
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here: