Answer:
70 - 5√10 ft²
Step-by-step explanation:
Perimeter is the distance around a two-dimensional shape.
area of rectangle: length x width
Here given:
length: (3√2 + 4√5) ft
width: (-5√2 + 5√5) ft
Solve for perimeter:
length x width
(3√2 + 4√5) x (-5√2 + 5√5)
apply distributive method
(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)
multiply
-15(2) + 15√10 -20√10 + 20(5)
combine
-30 -5√10 + 100
simplify
70 - 5√10