Calculate Rectangle Perimeter: Area 112 with Width 8 and Length 14

Question

If the area of the rectangle is 112.

Calculate the perimeter of the rectangle.

112112112141414888AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Find the perimeter of the rectangle
00:03 The perimeter of the rectangle equals the sum of its sides
00:10 Opposite sides are equal in a rectangle
00:13 We'll substitute appropriate values according to the given data and solve for the perimeter
00:19 And this is the solution to the problem

Step-by-Step Solution

Since in a rectangle every pair of opposite sides are equal to each other, we can claim that:

AB=CD=14 AB=CD=14

AC=BD=8 AC=BD=8

Now we can calculate the perimeter by adding all the sides together:

8+14+8+14=16+28=44 8+14+8+14=16+28=44

Answer

44