At all times, the length of a rectangle is twice the width w o...

Question

At all times, the length of a rectangle is twice the width w of the rectangleas the area of the rectangle changes with respect to time t.

a. Find an equation relating A to w.

Accepted Answer

Welcome back, everyone. The width of a rectangular field is W and its length is 4 times the width. Find the equation that relates the area A of the field to its width W. We're given 4 answer choices A says. A equals w2 B A equals 2 W C A equals 3 W2 and D A equals 42. Let's recall that the area of a rectangle is simply a product between length and width. In this case, we know that. Our length is 4 times the width, right? And our width is simply W. So if length is 4 times the width, we're going to get the length of 4 W. So if we use those in terms of W, we're going to rewrite our equation SL, which is now 4W, multiplied by W, right? And now what we want to do is simply combine those and multiply. So we have 4 W multiplied by W gives us W squared, meaning the correct answer to this problem corresponds to the answer choice D. Thank you for watching.

At all times, the length of a rectangle is twice the width w of the rectangleas the area of the rectangle changes with respect to time t.a. Find an equation relating A to w.

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At all times, the length of a rectangle is twice the width w of the rectangleas the area of the rectangle changes with respect to time t.
a. Find an equation relating A to w.