Question

I need help asap. I don’t know how to do this

Answer 1

Answer:

  10 in

Step-by-step explanation:

There are two ways to work this problem, and they give different answers. The reason for that is that the data shown in the diagram is not consistent.

Method 1

Use the area to determine the base length. The area formula is ...

  A = (1/2)bh

  20 in^2 = (1/2)(b)(4 in)

  (20 in^2)/(2 in) = b = 10 in

The missing side dimension is 10 inches.

__

Method 2

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

  left^2 +4^ = 6^

  left^2 = 36 -16 = 20

  left = √20 = 2√5

Right of the "?" we have ...

  right^2 +4^2 = 8^2

  right^2 = 64 -16 = 48

  right = √48 = 4√3

So, the base length is ...

  base = left + right = 2√5 +4√3

  base ≈ 11.400 in

The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)