223k views
0 votes
The area of a rectangle is 5/8 square foot. The width of the rectangle is 2 1/2 feet. What is the length of the rectangle?

A. 25/16 feet
B. 24/5 feet
C. 1/4 foot
D. 4 feet

User Quintonm
by
8.7k points

1 Answer

1 vote

Final answer:

To find the length of the rectangle, use the formula for the area of a rectangle: length x width = area. Plug in the given values and solve for the length. The length of the rectangle is 1/10 foot.

Step-by-step explanation:

To find the length of the rectangle, we need to use the formula for the area of a rectangle: length x width = area. Given that the area of the rectangle is 5/8 square feet and the width is 2 1/2 feet, we can plug these values into the formula and solve for the length. Multiplying the width by the length gives us 2 1/2 x length = 5/8. To isolate the length, we can divide both sides of the equation by 2 1/2, which is the same as multiplying by the reciprocal (2/5).

2 1/2 x length = 5/8

(2 1/2) x (2/5) x length = (5/8) x (2/5)

5/2 x length = 1/4

Dividing both sides by 5/2: length = (1/4) ÷ (5/2)

length = (1/4) x (2/5) = 2/20 = 1/10

So, the length of the rectangle is 1/10 foot.

User Wololo
by
7.4k 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