Question

Write a simplified expression that represents the perimeter of an irregular quadrilateral with some de lengths (2 1/4t - 5) (4t + 3) (1/2t - 1) (3t + 2)

Answer 1

Answer:

$Perimeter = \frac{39t-4}{4}$

Step-by-step explanation:

Given

$Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)$

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

$Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)$

Remove brackets

$Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2$

Collect Like Terms

$Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2$

$Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1$

Convert mixed number to improper fraction.

$Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1$

Take LCM

$Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1$

$Perimeter = \frac{39t}{4} -1$

Take LCM

$Perimeter = \frac{39t-4}{4}$  --- The perimeter of the shape