The small rectangle was enlarged to create the big rectangle.

A smaller rectangle has a length of 12 feet and width of 2 feet. A larger rectangle has a length of x feet and width of 5 feet.
Not drawn to scale

What is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet

the missing measure on the big rectangle is 30 feet.

Step-by-step explanation:

If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.

The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that

x/12 = 5/2

Cross multiplying, it becomes

2x = 12 × 5 = 60

x = 60/2 = 30

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: