The area formula is a parallelogram is equal to (Base)*(height). If the area if a parallelogram is given by the trinomial x^2-14x+24. The base of parallelogram is (x-2), what is…

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asked Apr 2, 2023 223k views

1 Answer

Andrew Weir · Answer 1 · 2023-04-06T12:58:08+0000

Answer:

x-12

Step by step Step-by-step explanation:

Here it is given that the area of a parallelogram is given by base * height. And if the area is represented by ,

$\longrightarrow A = x^2-14x+24$

And the base of the parallelogram is given by,

$\longrightarrow Base = x-2$

Substituting the values in the given formula, we have;

$\longrightarrow Area = base * height$

$\longrightarrow x^2-14x+24=h(x-2)\\$

Divide both sides by (x-2) .

$\longrightarrow h =(x^2-14x+24)/(x-2)$

Factorise the term in numerator,

$\longrightarrow h =(x^2-12x-2x+24)/(x-2)\\$

$\longrightarrow h =(x(x-12)-2(x-12))/(x-2)\\$

$\longrightarrow h =((x-2)(x-12))/(x-2)$

Simplify,

$\longrightarrow \underline{\underline{ height= x-12}}$

This is the required answer!