167k views
1 vote
John is installing a patio with a length

of 3 3/4 m and a total area of 30 m2. Write a
multiplication equation to find the width, w, of
the patio, and solve.

User Matt Meng
by
8.6k points

1 Answer

6 votes

Final answer:

The width of John's patio can be found by setting up the equation 3 3/4 m × w = 30 m² and solving for w, which results in a width of 8 meters.

Step-by-step explanation:

To find the width of John's patio, we need to set up a multiplication equation using the given length and area. Since the area of a rectangle is given by the formula Area = length × width, we can plug in the values we know to find the width.



The equation to find the width, w, can be written as:



3 3/4 m × w = 30 m²



To solve for w, convert the mixed number to an improper fraction (3 3/4 = 15/4) and then divide both sides of the equation by 15/4 to get:



w = 30 m² ÷ (15/4) m
= (30 ÷ 15) × 4
= 2 × 4
= 8 m



So, the width of the patio is 8 meters.

User Marc Scheib
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories