Question

Britannya has a scale drawing of the first floor of her home. If each 2 in on the scale drawing equals 24 ft, what is the perimeter of Britannya's bedroom room?

Answer 1

Perimeter of the bedroom = 48ft

Step-by-step explanation:

The scale drawing indicates that for every 2 inches we have 24ft

The length of the bedroom is 3/4 inches

Step 1 : we need to convert the length from inches to ft

if 2 inches = 24 ft

1 inches = xft

Cross multiply

2 * x = 24 x 1

2x = 24

isolate x

x = 24/2

x = 12 ft

1 inch = 12 ft

3/4 in = x

Cross multiply

x * 1 = 12 x 3 / 4

x = 36/4

x = 9 ft

Width of the bedroom = 9 ft

Step 2: find the legth in ft

length = 5/4 inches

Convert to ft

12 x 5 / 4

= 15 ft

Since the bedroom is a rectangle

P = 2(l + w)

Perimeter = 2(15 + 9)

perimeter = 2(24)

Perimeter = 48 ft