Question

I need help knowing how to show the work and how to get the answer and the answer it self

Answer 1

Find the separate areas.

We have a triangle with base 5 cm and height 5 cm, calculate the area:

$\sf A=\dfrac{1}{2}bh$

Plug in what we know:

$\sf A=\dfrac{1}{2}(5)(5)$

Multiply:

$\sf A=12.5~cm^2$

Now for the two quarter circles, we know that if we put these two together we will end up with a semi-circle with radius 5 cm. The formula for the area of a circle is:

$\sf A=\pi r^2$

A semi-circle is half of a whole circle, so the formula for the area of it must be:

$\sf A=\dfrac{1}{2}\pi r^2$

Now plug in what we know(use 3.14 to approximate for pi):

$\sf A\approx\dfrac{1}{2}(3.14)(5)^2$

Simplify the exponent:

$\sf A\approx\dfrac{1}{2}(3.14)(25)$

Multiply:

$\sf A\approx 39.25~cm^2$

Now add this to the area of the triangle to find the approximate area of the entire figure(round to the nearest tenth):

$\sf 39.25+12.5=\boxed{\sf 51.8~cm^2}$