Question

Find perimeter and area pleasee

Answer 1

36m

60m²

Explanation:

Base of 1 right angle triangle:

sqrt(13² - 12²)

5

Base of the bigger triangle:

5 + 5 = 10

Perimeter = 13 + 13 + 10

36 m

Area = ½ × 10 × 12

60 m²

Answer 2

Perimeter: 36 m

Area: 60 m squared

Explanation:

The perimeter is the sum of the exterior side lengths of the shape. Here, we see that there are two side lengths given, but we need to find the third one.

Notice that the triangle is split up into two right triangles, which means that we can use the Pythagorean Theorem to solve for half of the remaining side. The right triangles have hypotenuses of 13 and one leg of 12. That means the second leg will be
`√(13^2-12^2) =√(169-144) =√(25) =5`.

So, the third side is made up of the two legs with length 5. This makes the length of the remaining side: 5 + 5 = 10.

Now, we can calculate the perimeter: P = 10 + 13 + 13 = 36 meters.

The area is calculated by the formula:
`A=(1)/(2) bh` , where b is the base and h is the height. Here, the base is what we found above, 10, and the height is the length that makes a perpendicular with the base, which is 12. So, the area is:
`A=(1/2)*10*12=(1/2)*120=60`. So, the area is 60 square meters.

Hope this helps!