Question

Lyla is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 12 meters and the diagonal distance from one corner to the opposite corner is 20 meters. How much garland will Lyla need for the length of the ceiling?

Answer 1

Answer:

Lyla will need 8 metres garland for the length of the ceiling.

Step-by-step explanation:

Given:

Lyla is decorating a ballroom ceiling with garland.

The width of the rectangular ceiling is 12 meters and the diagonal distance from one corner to the opposite corner is 20 meters.

Now, to find the length of the garland for length of the ceiling.

The width of rectangular ceiling ($w$) = 12 meters.

The diagonal distance ($d$) = 20 meters.

Let the length of ceiling be $l.$

So, to get the length of ceiling we put formula:

$d=\sqrt{w^2+l^2}$

$20=\sqrt{12^2+l^2}$

$20=\sqrt{144+l^2}$

Using square root both sides we get:

$\sqrt{20}=144+l^2$

Subtracting both sides by 144 we get:

$\sqrt{20} -144=l^2$

Again, using square root on both sides we get:

$20-12=l\\\\8=l\\\\l=8\ meters.$

Hence, the length of the ceiling is 8 meters.

So, as the ceiling's length is 8 meters.

Thus, garland needed is 8 meters for the length of the ceiling.

Therefore, Lyla will need 8 metres garland for the length of the ceiling.