Question

Trisha drew a blueprint of her bed of her bedroom, shown below. Detonated by A to on the blueprint, her closest blueprint dimensions are 1 inch by 2 1/8 inches.

if the scale of the blueprint is 1 inch=2 feet, what are the actual dimensions of Trisha’s closet?

Answer 1

To find the actual dimensions of Trisha's closet, the blueprint's dimensions of 1 inch by 2 1/8 inches are multiplied by the scale factor of 1 inch equals 2 feet. The actual dimensions are 2 feet by 4 feet and 1/4 foot (or 3 inches).

Step-by-step explanation:

The student is asking to determine the actual dimensions of a closet from its representation on a blueprint. The scale given on the blueprint is 1 inch equals 2 feet. Trisha's closet on the blueprint measures 1 inch by 2 1/8 inches.

Here is a step-by-step explanation to solve the question:

1. Write the unit scale as a ratio, which is 1 inch/2 feet.
2. Since the closet's length on the blueprint is 1 inch, simply multiply that by the scale factor (1 inch × 2 feet) to get the actual length, which is 2 feet.
3. The closet's width on the blueprint is 2 1/8 inches. To find the actual width, convert 2 1/8 inches to an improper fraction, which is 17/8 inches, and then multiply by the scale factor. (17/8 inches) × 2 feet/inch = 17/4 feet or 4 feet and 1/4 foot.
4. So, the actual dimensions of Trisha's closet are 2 feet by 4 feet and 1/4 foot (4 feet and 3 inches).