Find the length and area of a rectangular rug if the width of the rug is 12 feet and the diagonal measures 20 feet.

So use pythogoras theorem

a^2=c^2-b^2

a^2 = 20^2-12^2

a^2= 256

a= square root of 256

length is 16 ft

area = l x w

= 16 x 12

Area is 192 square feet

Step-by-step explanation:

The length = 192 feet squared

The diagonal = 16 feet

Step-by-step explanation:

Over here, we can use the Pythagorean theorem which states that in a right triangle, a^2+b^2=c^2

The width measures 12 and the diagonal measures 20, so we have a and c, so 144+b^2=400 which simplifies to b^2=256. The square root of 256 is 16 so that's our length

Then we just plug in the formula to find the area of a rectangle which is l*w, so 12*16=192

step-by-step explanation: