Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?

15 feets

Step-by-step explanation:

Given that :

Area of square shaped lawn = 224.9 ft²

Measurement closest to side length of the lawn :

Since the length is square shaped ;

Area of square formula = a²; where a = side length of the square

Area = a²

224.9 ft² = a²

Take the square root of both sides

√224.9ft² = √a²

14.996666 ft = a

a = 14.996666 ft

a = 15 ft

Hence, the side length of the lawn is closest to 15 feets

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).