Question

Aiden calculated the area of triangle QRS below by finding half the product of 1.5 and 1.1.

Answer 1

His error is the second choice.
Aiden should have calculated
area = (1.1 * 5.4) / 2
because triangle area = half the base times the altitude.

Answer 2

Answer: The correct option is

(B) Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to 1.1 line.

Step-by-step explanation: Given that Aiden calculated the area of triangle QRS by finding half the product of 1.5 and 1.1.

We are to select the correct option which states the error made by Aiden.

The AREA of a triangle is given by

$A=\dfrac{1}{2}\times \textup{base}\times \textup{altitude},$

where the altitude is perpendicular to the base.

In ΔQRS, the length of the base is given by

b = QS = 0.9 + 4.5 = 5.4 units

and

the length of the altitude is given by

h = 1.1 units.

So, the area of the triangle QRS will be

$A=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 5.4\times 1.1$

Therefore, the area of ΔQRS will be calculated by finding half the product of 1.1 and 5.4.

So, Aiden made the error by finding half the product of 1.5 and 1.1, because 1.5 line is not perpendicular to 1.1 line.

Thus, Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to 1.1 line.

Option (B) is correct.