Question

The area of a rectangle is 3 √50 yd2. Find the width if the length is 3√5 yd.

Answer 1

√10

Explanation:

Area of a rectangle = length * width

Area = 3√50

length = 3√5

width = 3√50 ÷ 3√5 = √10

Answer 2

`\displaystyle w = √(10)\text{ yd}`

Explanation:

We are given the area and length of a rectangle and we want to determine the width.

Recall that the area of a rectangle is given by:

`\displaystyle A = \ell w`

Substitute in known values:

`\displaystyle (3√(50)) = (3√(5))w`

Solve for the width w:

`\displaystyle \begin{aligned} w & = (3√(50))/(3√(5)) \\ \\ & = (√(10 \cdot 5))/(√(5)) \\ \\ & = (√(10)\cdot √(5))/(√(5)) \\ \\ &= √(10) \text{ yd}\end{aligned}`

In conclusion, the width of the rectangle is √10 yards.