Question

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.

Answer 1

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.