Suppose that the width of a certain rectangle is 1 inch more than one-fourth of its length. the perimeter of the rectangle is 62 inches. find the length and width of the rectangle.

The length of the rectangle is 24 inches and the width is 7  inches

Step-by-step explanation:

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is equal to

we have

so

----> equation A

---> equation B

Solve the system by substitution

substitute equation B in equation A

solve for x

Find the value of y

therefore

The length of the rectangle is 24 inches and the width is 7  inches

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: