An office table consists of a rectangle 2 meters long by 1.5 meters wide and a semicircle 2 meters in diameter. what is the perimeter p of the table?

Given:
Length of rectangle = 2 meters
Width of rectangle = 1.5 meters.
Diameter of semicircle = 2 meters

I am assuming that the diameter of the semicircle is attached to one of the length of the rectangle.

Perimeter of the rectangle part of the table is = 2 + 1.5 + 1.5 = 5 meters

Perimeter of the semicircle = 1/2 π d + d = 1/2 * 3.14 * 2 + 2
                                            = 3.14 + 2
                                            = 5.14 meters

Perimeter of the office table: 5 meters + 5.14 meters = 10.14 meters.

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.