Question

question 3
3.1 the district likes the frame of the certificate to be painted in black and the front to be covered with a glass as shown in the picture below.
picture of a rectangular certificate with frame dimensions of a rectangular certificate with frame
outer frame = 27cm × 21 cm
inner frame = 25cm × 18 cm
use the information above to answer the questions that follow.
3.1.1 calculate the value of a, the width of the frame of the certificate, in centimeters.
3.1.2 determine the total length around the frame in centimeters.
you may use the formula:
perimeter of a rectangle = 2(l + b), where l = length and b = breadth
3.1.3 the area of the inside section of the certificate is 450 cm²; hence calculate the area of the wooden frame section in square centimeters.
you may use the formula:
area of the wooden frame = area of the whole certificate - area of the inside section.
3.1.4 ramound, the certificate designer, says it will take him 5 hours to design 60 certificates if it takes him 5 minutes to design 1 certificate.
verify, showing all calculations, whether the statement is correct.
3.1.5 give one reason why a glass cover is put in front of the certificates.

Explanation:

: Verify the statement about design time
He says it takes 5 hours to design 60 certificates. First, convert 5 hours to minutes. Since 1 hour = 60 minutes, 5 hours \(=5\times60 = 300\) minutes. Then the time per certificate is \(\frac{300}{60}=5\) minutes per certificate. So, the statement is correct.

Step5: Reason for glass cover

A glass cover is put in front of the certificate to protect it from dust, dirt, and physical damage such as scratches.

Answer:

3.1.1: 1 cm
3.1.2: 96 cm
3.1.3: 117 \(cm^{2}\)
3.1.4: The statement is correct.
3.1.5: To protect it from dust, dirt and physical damage.