HELP ME PLEASE Beth enlarged the triangle below by a scale of 5. She found the area of the enlarged triangle. Her work is shown below.

What was Beth’s error?

She should have divided One-half (4) (3.5) by 5.
She should have divided One-half (4) (3.5) by 5 squared.
She should have multiplied (4) (3.5) by 5.
She should have multiplied One-half (4) (3.5) by 5 squared.

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.

Step-by-step explanation:

Originally Triangle has height =3.5cm and width=4cm

Beth enlarged the same triangle by scale of 5 and calculate area of triangle

The area of triangle as given as A= $$\frac{1}{2} \texrm{ (base) (height)}$$

Area of original triangle is A =$$\frac{1}{2}(3.5 \times 4)$$

Since, The triangle is enlarged by scale of 5

New height =3.5x5 = cm and new width=4x5cm

Area of new triangle is

A' = $$\frac{1}{2} (\textrm{new width} ) ( \textrm{new height})$$

A' = $$\frac{1}{2}(3.5 \times 5)(4\times 5)$$

A' = $$\frac{1}{2}(3.5 \times 4)(5^{2})$$

A' = $$A (5^{2})$$

Now, Looking what error beth made is:

Beth found Area of new triangle is A' = $$\frac{1}{2}(3.5)(4)(5)$$

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.