nswer: The perimeter is approximately equal to 43.7 ft.
Explanation:
since we are working with a square, we know all the sides tend to have equal measurements including the side which acts as a hypotenuse to the triangle. Therefore, if we somehow find the measurement of the hypotenuse we'll be able to get the measurement of all sides of the square which we could add in to the two other sides of the triangle to get the perimeter.
Joshua calculated the hypotenuse wrong. The correct calculation is:
hypotenuse² = 7² + 7²
hypotenuse = √( 7² + 7²)
hypotenuse = √( 49 + 49)
hypotenuse = √( 98)
hypotenuse = 7√2
now it's going to be easy doing further calculation. We will three sides of square add them to two other sides of the triangle and get the perimeter.
Perimeter of Pentagon :
perimeter = 7√2 + 7√2 + 7√2 + 7 + 7
perimeter = 43.6984848098
perimeter ≈ 43.7 ft ANSWER
hope that helps...