Answer:
Explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2