Question

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

A rectangle with length 6 inches and width 4 inches is enlarged twice.

Which statements apply to the enlargements? Select three options.
The area of the first enlargement is 72 square inches.
The area of the second enlargement is 1,944 square inches.
The area of the second enlargement is (3 squared) squared times the original area.
The area of the second enlargement is 3 times the area of the first enlargement.
The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

Answer 1

the answers are B C and E for sure

Explanation:

Answer 2

B,C,E are true !

Explanation:

We know that , area of rectangle is :

⇒
`Area = Length(width)`

The original rectangle is 6 by 4 with:

⇒
`Area = 6(4)`

⇒
`Area = 24in^2`

The 1st enlargement = 6*3 by 4*3 So area is :

⇒
`Area = (6(3))(4(3))`

⇒
`Area = 216in^2`

The second enlargement is 18*3 by 12*3 So area is :

⇒
`Area = (18(3))(12(3))`

⇒
`Area = 1944in^2`

A.The area of the first enlargement is 72 square inches.

False it is
`216in^2`

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

`(216)/(24) =9` True

D.The area of the second enlargement is 3 times the area of the first enlargement.

`(1944)/(24) = 9` False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3,
`3^2 =9`
`(216)/(24) =9`

True