Question

What is the area of this figure? Please help

Answer 1

Explanation:

The square has 4 sides with length 4

The right triangle has the right side equal to 4yd + 4yd(from the square) = 8yd

Using the Pythagorean Theorem, we find that the left side of the triangle has length = 10yd

The area of the whole thing is the area of the square + the area of the triangle

The formula for the area of a square with sides l is
`A_s = l^2`

The area of the triangle is trickier, but you can imagine tracing a line in the left side and the upper side to form a rectangle, and the area of that is A =
`l * L`, the area of the triangle will be half the area of the rectangle so it'll be
`A = (6 * 8)/(2) = 24 (yd)^(2)`

The total area will be;

Area of the square + Area of the triangle =
`16 + 24 = 40 yd^(2)`