The length of a rectangle is 6 inches more than its height. find the length and the height of this rectangle if the perimeter is 3 ft. answer: the height is inch (es). the length is inch (es).
let x------> the length of a rectangle y------> the height of a rectangle
we know that perimeter of a rectangle=2*[x+y] perimeter of a rectangle=3 ft convert to in 1 ft-----> 12 in 3 ft-----> x x=3*12-----> x=36 in perimeter of a rectangle=36 in 36=2*[x+y] 18=x+y--------> x=18-y-----> equation 1 x=6+y-----> equation 2
equate equation 1 and equation 2 18-y=6+y 2y=18-6 2y=12 y=6 in x=6+x-----> x=6+6-----> x=12 in
the answer is the length of a rectangle is 12 in and the height of a rectangle is 6 in
