Question

Find the perimeter and area of the figure

Answer 1

Perimeter = 34 cm

Area = 60
`cm^(2)`

Explanation:

The equation to find the perimeter of a rectangle is:

P = 2(l + w)

l = length

w = width

To find the length we have to use Pythagorean Theorem:

`a^(2) + b^(2) = c^(2)`

a = 12 cm

b = ?

c = 13 cm

Plug in and solve for b:

`(12^(2))+b^(2) = (13^(2))`

`144 + b^(2) = 169` Distribute the squares

`b^(2) = 25` Subtract 144 from 169

`\sqrt{b^(2) } =√(25)` Square root both sides

b = 5 cm

Now that we have found the length, and we know the width, we can find the perimeter:

P = 2(12 + 5) = 2(17) = 34

The perimeter of the rectangle is 34 cm.

To find the area use this equation:

A = lw

Plug in the values for length and width and solve:

A = (5 cm)(12 cm)

A = 60
`cm^(2)`

The area of the rectangle is 60
`cm^(2)`.

Hope this helps!!