Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1. it is required to lay out a rectangular commercial building 200.00 f…

Question

  1. it is required to lay out a rectangular commercial building 200.00 ft wide and 350.00 ft long. if the steel tape being used is 100.02 ft long (under standard conditions), what distances should be laid out?

Explanation:

Step1: Calculate the multiplier

The actual length of the tape is $100.02$ ft instead of the nominal $100$ ft. The multiplier $k=\frac{100}{100.02}$.

Step2: Calculate the laid - out width

The required width is $w = 200$ ft. The laid - out width $w_{laid}=200\times\frac{100}{100.02}\approx 199.96$ ft.

Step3: Calculate the laid - out length

The required length is $l = 350$ ft. The laid - out length $l_{laid}=350\times\frac{100}{100.02}\approx 349.93$ ft.

Answer:

The width should be approximately $199.96$ ft and the length should be approximately $349.93$ ft.