Question

Jane had a rectangular frame 30 inches in length and 24 inches in width. Stan made a similar frame that is smaller in size. Which of the following could be the dimensions of the frame Stan made?
A. Length = 20inches, Width = 25inches
B. Length = 15inches, Width = 8inches
C. Length = 24, Width = 18inches
D. Length = 15inches, Width = 12inches

Answer 1

The answer is D because it's half of First one...

Answer 2

Hello! 

Let's multiply the length by the width first, so that we know how big the frame is. Then we can compare it to the other frame dimensions: 

A = l × w

A = 30 × 24 

A = 720

Now we know how big the frame is: 720 in²

Let's create frames using the dimensions from options A, B, C, and D. The frame has to be smaller in size, meaning it has to have an area less than 720 in²: 

Option A: 


A = l × w

A = 20 × 25 

A = 500 in²

Option B: 

A = l × w

A = 15 × 8 

A = 120 in²

Option C: 

A = l × w

A = 24 × 18 

A = 432 in²

Option D: 

A = l × w

A = 15 × 12

A = 180 in²