A picture has a width of 8 em and a length of 14 em. If the perimeter of the picture is increased by 50 percent, which of the following dimensions is possible for the new perimeter?
A. 4 em by 7 em
B. 8 em by 28 em
C. 12 em by 21 em
D. 16 em by 28 em
I thinks its c
what is 1.5(8) ?
what is 1.5(14) ?
What is an em ?
It's suppose to be cm
To determine which of the given dimensions is possible for the new perimeter, we need to calculate the original perimeter and then increase it by 50%.
1. Calculate the original perimeter:
Perimeter = 2 x (Width + Length)
Perimeter = 2 x (8 em + 14 em)
Perimeter = 2 x 22 em
Perimeter = 44 em
2. Increase the original perimeter by 50%:
New Perimeter = Original Perimeter + (50% of Original Perimeter)
New Perimeter = 44 em + (0.5 x 44 em)
New Perimeter = 44 em + 22 em
New Perimeter = 66 em
Now let's check which of the given dimensions gives a perimeter of 66 em:
A. 4 em by 7 em:
Perimeter = 2 x (4 em + 7 em) = 22 em (Not equal to 66 em)
B. 8 em by 28 em:
Perimeter = 2 x (8 em + 28 em) = 72 em (Not equal to 66 em)
C. 12 em by 21 em:
Perimeter = 2 x (12 em + 21 em) = 66 em (Equal to 66 em)
D. 16 em by 28 em:
Perimeter = 2 x (16 em + 28 em) = 88 em (Not equal to 66 em)
From the options given, only option C (12 em by 21 em) is possible for the new perimeter of 66 em.