The area of Felipe’s bedroom floor is 312.3 square ft.
What is Pythagoras theorem:
If we have a right-angled triangle then we can write the following equation,
(Hypotenuse)² = (Base)² + (Height)²
Properties of a rectangle:
In the given figure attached below the properties are as follows:
- ML = JK
- KL = JM
- area = (Base × Width) = KL × ML
In the given question and in the figure attached below the given values are:
- ML = 18 ft.
- KM = 25 ft.
By applying Pythagoras theorem in ΔKML we get,
(KM)² = (KL)² + (ML)²
Putting all the values in the above equation,
(25)² = (KL)² + (18)²
By rearranging,
(KL)² = (25)² - (18)²
Applying the formula, a² - b² = (a + b)(a - b) we get,
(KL)² = (25 + 18)(25 - 18)
(KL)² = 43 × 7
KL = √301 ft.
Now the area is,
area = KL × ML
= (√301 × 18) square ft.
= 312.3 square ft.
Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.
To know more about the area and how to calculate the area of a rectangle click here - brainly.com/question/25292087
#SPJ2
