Question

look at this rectangle. find the value of u.
31 m
purple rectangle with height u
perimeter = 86 meters
u = blank meters
submit

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, length is \( 31 \) m, width is \( u \), and \( P = 86 \) m. So, \( 86 = 2\times(31 + u) \).

Step2: Divide both sides by 2

Divide both sides of the equation by \( 2 \): \( \frac{86}{2} = 31 + u \), which simplifies to \( 43 = 31 + u \).

Step3: Solve for u

Subtract \( 31 \) from both sides: \( u = 43 - 31 \).

Step4: Calculate the result

\( u = 12 \).

Answer:

\( 12 \)