Trapezoid Perimeter Problem: Finding Missing Base Length in 34cm Figure

Question

The perimeter of the trapezoid in the drawing is 34 cm. What is the length of the missing base?

00:00 Find side AB

00:04 The perimeter of the trapezoid equals the sum of its sides

00:13 Let's substitute appropriate values and solve for AB

00:31 Let's isolate AB

00:46 We got that the side length is less than 0, therefore it's impossible

00:50 And this is the solution to the question

To solve for the missing base of the trapezoid, follow these steps:

Identify given values: Perimeter $P = 34 \, \text{cm}$ , base 1 $a = 14 \, \text{cm}$ , leg 1 $c = 10 \, \text{cm}$ , leg 2 $d = 12 \, \text{cm}$ .
Set up the equation for the perimeter: $P = a + b + c + d = 34$ Substitute known values: $14 + b + 10 + 12 = 34$
Simplify the equation: $36 + b = 34$
Solve for $b$ : $b = 34 - 36 = -2$

Since a side length cannot be negative, this trapezoid is impossible with these dimensions.

The correct choice is This trapeze is not possible.

This trapeze is not possible.