The area of the triangle is 99 cm². The correct option is the fourth option, 99 cm²
From the question,
We are to determine the area of the triangle
From the given information
A triangle has a base of 3 cm greater than five times its height
Let the base be b and the height be h
∴ The base of the triangle can be expressed as
b = 3cm + 5h
Now, to determine the area of the triangle its height is 6cm
That is
h = 6cm
But,
b = 3cm + 5h
∴ b = 3cm + 5×6cm
b = 3cm + 30cm
b = 33cm
The area of a triangle is given by the formula
[tex]A = \frac{1}{2} bh[/tex]
Where A is the Area
b is the base
and h is the height
∴ Area of the triangle is
[tex]A = \frac{1}{2} \times 33 \times 6[/tex]
[tex]A = 33 \times 3[/tex]
∴ A = 99 cm²
Hence, the area of the triangle is 99 cm². The correct option is the fourth option, 99 cm²
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