Question 7 of 7
Which equation could be used to find the length of the missing side of the quadrilateral?
A quadrilateral is shown with with side lengths of 7 in., x in., 7 in., and 4 in.. The perimeter is 26 in.
A.x
+
14
=
26
+
4
B.x
+
18
=
26
+
4
C.x
+
14
=
26
D.x
+
18
=
26
7 /
Option B: x + 18 = 26 is the equation that can be used to find the length of the missing side of the quadrilateral.
To solve for x, we can simplify the equation to get x = 8.
Then, we can check if 7 + 8 + 7 + 4 = 26, which is true. Therefore, the length of the missing side is 8 inches.
To find the length of the missing side in the given quadrilateral, we can use the fact that the perimeter is the sum of all the side lengths. In this case, we are given that the perimeter is 26 inches.
Let's break down the given information:
- Two of the side lengths are given as 7 inches.
- One side length is given as 4 inches.
- The length of the missing side is represented as x inches.
To find the length of the missing side, we can set up the equation:
7 + x + 7 + 4 = 26
Simplifying the left side of the equation:
18 + x = 26
To isolate x, we can subtract 18 from both sides of the equation:
x = 26 - 18
Simplifying the right side of the equation:
x = 8
Therefore, the missing side length is 8 inches.
Looking at the options provided:
A. x + 14 = 26 + 4
B. x + 18 = 26 + 4
C. x + 14 = 26
D. x + 18 = 26
Option C, x + 14 = 26, matches the equation we derived to find the missing side length.
To find the length of the missing side of the quadrilateral, we need to use the equation that represents the perimeter of the quadrilateral.
The perimeter of a quadrilateral is the sum of all its side lengths.
In this case, the side lengths are 7 in., x in., 7 in., and 4 in.. The perimeter is given as 26 in.
So, the equation that represents the perimeter is:
7 + x + 7 + 4 = 26
Simplifying this equation, we get:
18 + x = 26
To find the value of x, we subtract 18 from both sides of the equation:
x = 26 - 18
Therefore, the equation that could be used to find the length of the missing side of the quadrilateral is:
x = 26 - 18, which simplifies to:
x = 8
So, the missing side has a length of 8 inches.