Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 foot long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. What is the total amount of time, in hours, it takes Roberto to decorate both signs. Show or explain each step you used to find your answer

Answer: It takes Him 1/4 hours to decorate both signs,

Step-by-step explanation:

Hi, since the area of a rectangle is equal to:

Area: length x width

Replacing with the values given;

Sign 1 = A1 = 2/3 x 1/4 = 1/6 ft2

Sign 2 = A2 = 1/2 x 1/3 = 1/6 ft2

If we sum both areas:

A1 + A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)

Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:

For 1/3 ft2

3/4 hour x 1/3 ft2 = 1/4 h

ITt takes Him 1/4 hours to decorate both signs,