Question

look at this rectangle. find the value of a. a 83 yd perimeter = 356 yards a = yards

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter formula of a rectangle is \(P = 2\times(\text{length}+\text{width})\), where \(P\) is the perimeter. Here, \(P = 356\) yd, width \(= 83\) yd and length \(=a\).

Step2: Substitute the values into the formula

We have \(356=2\times(a + 83)\). First, divide both sides of the equation by \(2\): \(\frac{356}{2}=a + 83\).

Step3: Simplify the left - hand side

\(178=a + 83\).

Step4: Solve for \(a\)

Subtract \(83\) from both sides: \(a=178 - 83\).

Step5: Calculate the value of \(a\)

\(a = 95\) yd.

Answer:

\(95\)