Question

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 12 more than four times the length of the bottom of the triangle. The last side is 3 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle

Answer 1

ANSWER

$Perimeter=6x+15$

EXPLANATION

The perimeter of the triangle is the distance around the triangle.

We need to apply our ability to convert word problems in to mathematical expressions.

we were told that the bottom of the triangle is $x$ units.

From the diagram perimeter $4x+12+x+3+x=6x+15$

Four times the length of the bottom will be $4x$.

12 more than 4 times the bottom will be  $4x+12$

Hence another side of the triangle is $4x+12$

Finally we were told that the last side is 3 more than the bottom, that will be $x+3$

Answer 2

The expression for the perimeter of the triangle is 6x + 15

Let x represent the bottom of the triangle.

One side if the triangle is 12 more than four times the length of the bottom of the triangle, hence:

Length of the side = 4x + 12

The last side is 3 more than the bottom of the triangle, hence:

Length of the side = x + 3

Perimeter of the triangle = x + (4x + 12) + (x + 3)

Perimeter = 6x + 15

The expression for the perimeter of the triangle is 6x + 15

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