The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, which equation models this situation? 1) 6x^2+x-12=0 2) 6x^2+x-13=0 3) 6x^2+x-26=0 4) 36x^2+6x-26=0

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Mathematics

28 December, 22:09

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, which equation models this situation? 1) 6x^2+x-12=0 2) 6x^2+x-13=0 3) 6x^2+x-26=0 4) 36x^2+6x-26=0

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Rory Yu · Answer 1

The area of a triangle is given by Area = 12 * Base*Height

We need to develop expressions for the Base and Height terms. We know what the base is--we're told that it can be represented by Base=x We're also told that the height is "1 more than 6 times its base". Let's break this down into math. "1 more than" suggests addition. Think about this: wouldn't you say that 3 apples is 1 more than 2 apples? "6 times its base" suggests multiplication. After all, that's the expression we typically use to express multiplication. You should be able to create an expression for the Height term now. Plug all of your information into the expression for Area and simplify to get an expression similar to the choices provided.