Rectangles A and B have the same perimeter but are different shapes Rectangle S is 5 inches long and 3 inches wide. Rectangle B is 6 inches longer than it is wide. What are the lenght and width of Rectangle B ?
we know that perimeter rectangle A=2*[5+3]-----> 16 in
let x------> length side rectangle B y-------> width side rectangle B so x=6+y-------> equation 1 16=2[x+y]------> equation 2 I substitute 1 in 2 16=2*[6+y+y]-------> 16=2*[6+2y]-----> 16=12+4y-----> 4y=16-12 y=4/4--------> y=1 in x=6+1---->x=7 in
the answer is the dimensions of rectangle B are length side is 7 in width side is 1 in