A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches. In each postcard, the length is 1 and 1/2 times the width. What could be the dimensions of the postcard or the enlargements.

Step-by-step explanation:

Given:

Initial area, Ai = 24 in^2

First enlargement, A1 = 54 in^2

Second enlargement, A2 = 96 in^2

Length, L = 3/2 × B

Area of a rectangle = L × B

Ai = 3/2B × B

24 = 3/2 B^2

B = sqrt(16)

= 4 in

A1 = 3/2B × B

54 = 3/2 B^2

B = sqrt(36)

= 6 in

A2 = 3/2B × B

96 = 3/2 B^2

B = sqrt(64)

= 8 in

For the first enlargement,

2in : 3in

Second enlargement,

1in : 4in

the 4th choice is the correct one

step-by-step explanation:

the answer is d

step-by-step explanation: