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Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.


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Felipe Is Ordering New Carpet For His Bedroom Floor The Floor Is Represented In The Picture Below As Rectangle JKLM He Knows The Base Edge ML Measures 18 Ft And class=

Sagot :

Medunno13

Answer: 312.3 square feet

Step-by-step explanation:

View image Medunno13

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:

  1. ML = JK
  2. KL = JM
  3. area = (Base  × Width) =  KL × ML

In the given question and in the figure attached below the given values are:

  1. ML = 18 ft.
  2. 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

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