Question

The perimeter of a certain quadrilateral is 49 inches. The second side is twice the length of the first. The third side is five inches longer than the first side, and the fourth side is six inches shorter than the first. Find the length of each side.

Answer 1

Answer:

• 1st side =10
• 2nd side =20
• 3rd side =15
• 4th side =4

Answer 2

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GiveN:

• Perimeter of a Quadrilateral = 49 inches
• Second side = 2(First side)
• Third side = First side + 5
• Fourth side = First side - 6

To FinD:

• Length of each side of the quadrilateral?

Step-wise-Step Explanation:

As we can see that, all the sides are expressed in terms of the first side. Let the first side be x. Then,

• Second side = 2x
• Third side = x + 5
• Fourth side = x - 6

We know that,

➝ Sum of all sides = Perimeter

➝ x + 2x + x + 5 + x - 6 = 49 inches

➝ 5x -1 = 49 inches

➝ 5x = 50 inches

➝ x = 10 inch.

Then, Length of other sides:

• Second side = 2(10) = 20 inches
• Third side = 10 + 5 = 15 inches
• Fourth side = 10 - 6 = 4 inches

Hence,

• The sides of the quadrilateral are 10 inches, 20 inches, 15 inches and 4 inches (Ans).