Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

blueprints with ratios worksheet name: your hill using a standard ruler…

Question

blueprints with ratios worksheet
name: your hill
using a standard ruler and the scale factor of 1 inch = 8 feet, determine the dimensions of each of the rooms and the dimensions of the house, including porch. determine the area and perimeter of each room as well.
room blueprint dimensions (inches) real - life dimensions (feet) real - life perimeter (feet) real life area (square feet)
porch 3 3/4 3/4 24 x 6 6 + 6+24 + 24
living room 1 3/4 x 1 1/2 14 x 12 14+14 + 12+12
kitchen 1 1/2 x 1 1/2 12 x 12 12+12+12+12
garage 2 1/2 x 1 1/2 20 x 12 20+20+12+12
hall 1 x 2 8 x 16 8+8+16+16
bedroom #2 2 1/2 x 2 20 x 16 20+20+16+16
master bedroom 2 1/2 x 2 20 x 16 20+20+16+16
bath 1 1/2 x 3/4 12 x 6 12+12+6+6
utility room 1 x 3/4 8 x 6 8+8+6+6
house 5 1/2 x 4 1/4 44 x 34 44+44+34+34

Explanation:

Step1: Convert blueprint to real - life

Multiply blueprint dimensions by 8.

Step2: Calculate perimeter

Use formula $P = 2(l + w)$.

Step3: Calculate area

Use formula $A=l\times w$.

Answer:

RoomReal - life Area (square feet)
Living Room$14\times12 = 168$
Kitchen$12\times12 = 144$
Garage$20\times12 = 240$
Hall$8\times16 = 128$
Bedroom #2$20\times16 = 320$
Master Bedroom$20\times16 = 320$
Bath$12\times6 = 72$
Utility Room$8\times6 = 48$
House$44\times34 = 1496$