Question:
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
Answer:
The length of rectangle is 10.5 units
Solution:
Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
![34 = 2(L + 6.5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xt1i5glfmkucbtgk46p7kqvklcuxgbpojo.png)
Thus the equation is found
Solve for "L"
![L + 6.5 = (34)/(2)\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/inuqlynet7dh1katdihpabntb830xpc1cb.png)
Thus length of rectangle is 10.5 units