eth enlarged the triangle below by a scale of 5.


A triangle with a base of 4 centimeters and height of 3.5 centimeters.



She found the area of the enlarged triangle. Her work is shown below.


One-half (4) (3.5) (5) = 35 centimeters squared


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.

Respuesta :

Answer:

She should have multiplied one half (4)(3.5) by 5 squared.

Step-by-step explanation:

We are given that

Base of triangle=b=4 cm

Height of triangle=h=3.5 cm

Area of triangle=[tex]\frac{1}{2}bh=\frac{1}{2}(4)(3.5) cm^2[/tex]

After enlarged

Scale factor=5

New base of enlarged triangle=b'=4(5) cm

Height of enlarged triangle=h'=3.5(5) cm

Area of enlarged triangle=[tex]\frac{1}{2}4(5)(3.5\times 5)=\frac{1}{2}(4)(3.5)(5^2) cm^2[/tex]

But Beth wrote

Area of enlarged triangle=[tex]\frac{1}{2}(4)(3.5)(5)=35 cm^2[/tex]

She should have multiplied one half (4)(3.5) by 5 squared.

Answer:

D

Step-by-step explanation:

I got it right on my quiz on Edgen 2020