Question

the length of a rectangle is five times its width. if the area of the rectangle is 245 meters squared, find its perimeter

Answer 1

Your answer is 84 meters.

We can call the width x, and thus the length 5x, and then we can say that 5x × x = 245, which simplifies to 5x² = 245, and then we can solve:

5x² = 245

÷ 5

x² = 49

√

x = 7

Now that we know what x is, we can find the perimeter by using it as the width, and then multiplying it by 5 to find its length. This gives us:

(7 × 2) + (5 × 7 × 2) = 14 + (35 × 2) = 14 + 70 = 84

So your answer is 84 meters.

I hope this helps!