Question

Please help on this... Fine the perimeter and the area of this.

Answer 1

Answer:

p = 18 in

a = 25 in²

Step-by-step explanation:

perimeter = sum  of the sides

p = 4 1/3 + 5 1/3 + 8 1/3

p = 18 in

Area = 1/2 * base * height

a = 1/2 * 8 1/3 * 6

a = 1/2 * 50

a = 25 in²

Answer 2

Answer:

$p=18\:\mathrm{in},\\A=25\:\mathrm{in^2}$

Step-by-step explanation:

The area of a triangle is given by $A=\frac{1}{2}\cdot b\cdot h$. By definition, the base and height must intersect at a $90^{\circ}$ angle.

In this diagram, we notice that the lengths $8\frac{1}{3}$ and $6$ intersect at a $90^{\circ}$, so we can use them as the base and height of the triangle, respectively.

Therefore, the area of the triangle is equal to:

$A=\frac{1}{2}\cdot 6\cdot 8\frac{1}{3}=3\cdot \frac{25}{3}=\boxed{25\:\mathrm{in^2}}$.

The perimeter is simply the sum of all sides of the triangle. Thus, we have:

$p=4\frac{1}{3}+8\frac{1}{3}+5\frac{1}{3}=4+8+5+1=\boxed{18\:\mathrm{in}}$