SOLUTION: the perimeter of a square and a rectangle are equal. The length of the rectangle is 11cm and area of the square is 4cm^2 more than the area of the rectangle.find the side of the sq

Question 165927: the perimeter of a square and a rectangle are equal. The length of the rectangle is 11cm and area of the square is 4cm^2 more than the area of the rectangle.find the side of the square?
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
Let x= square's side
Let y=length of the rectangle
Let z=width of the rectangle
the perimeter of a square and a rectangle are equal
then 4x=2(y+z)
The length of the rectangle is 11cm
then y=11
area of the square is 4cm^2 more than the area of the rectangle

so the system to solve is:

then

then

x=13 or x=9
if x=9 then z=18-11=7
if x=13 then z=26-11=15
then z=7 or z=15 but z Answer: x=9,z=7 and y=11

RELATED QUESTIONS
If a square has a side equal to the perimeter of a rectangle with adjacent sides 4cm and... (answered by ewatrrr)

The perimeter of a square and a rectangle are equal. One side of the rectangle is 11 cm... (answered by jorel555)

The area of a rectangle is 60cm square. The length is 11cm more than the width. Find the... (answered by Boreal)

The length of a rectangle is the same as the length of each side of a square. The length (answered by josgarithmetic)

If the perimeter of a rectangle and square are equal and the ratio of the two adjacent... (answered by LinnW)

The length of a rectangle is the same as the length of a square. The length of this... (answered by jorel1380)

what is the are of rectangle whose length is twice its width and whose perimeter is equal (answered by edjones)

find the dimensions of a rectangle if the area is 4cm and the perimeter is 14cm (answered by checkley77)

the length of a rectangle is 11cm more than the width. the perimeter is 90cm. find the... (answered by katelynsaxe)