When converting from yards to inches, remember that the conversion factor is 36 inches to 1 yard.
53 inches
Practice makes perfect
We know that the rectangular piece of fabric is 28 inches wide and 1 14 yards long. We want to find the length of the diagonal of the rectangle. To do so, we will first convert the length of the fabric from yards to inches so that the units are the same for both measurements. Recall that the conversion factor from yards to inches is 36in1yd.
1 14yd* 36in1yd
Now, we can evaluate the expression for the length of the fabric.
We now know that the rectangle is 28 inches wide and 45 inches long. Let's draw the rectangle!
A rectangle has four right angles. Therefore, a diagonal divides a rectangle into two right triangles, with the diagonal of the rectangle being the hypotenuse. This means that we can use the Pythagorean Theorem to find the length of the diagonal.
a^2+b^2=c^2
In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We will now identify a, b, and c.
We can see that a is 28 inches and b is 45 inches. Let's substitute these values into the formula.
