Question

The area of a rectangle is 4.75 m². The length of the base is 1 1/4 meters. What is the length of the height? Express your answer as a decimal and mixed number in simplest form.

Answer 1

The length of the height of the rectangle is 3.8 meters or the mixed number 3 4/5 meters.

Step-by-step explanation:

To find the length of the height of the rectangle, we can use the formula for the area of a rectangle:

Area = length × width

Given that the area is 4.75 m² and the length of the base is 1 1/4 meters, we can plug in these values to the formula:

4.75 = (1 1/4) × height

To solve for the height, we need to isolate the height on one side of the equation:

Dividing both sides of the equation by 1 1/4, we get:

height = 4.75 ÷ (1 1/4)

Simplifying the division, we have:

height = 3.8

So, the length of the height is 3.8 meters or the mixed number 3 4/5 meters.