Question

questions

1. calculate the perimeter of a rectangle that has a width of 18.3 cm and a length of 8.5 cm. draw a diagram

1. calculate the perimeter of equilateral triangle with a side length of 145 cm. draw a picture

Explanation:

Question 1:

Step1: Recall rectangle perimeter formula

The formula for the perimeter \( P \) of a rectangle is \( P = 2\times (length + width) \). Here, length \( l = 8.5 \) cm and width \( w = 18.3 \) cm.

Step2: Substitute values into formula

Substitute \( l = 8.5 \) and \( w = 18.3 \) into the formula: \( P = 2\times(8.5 + 18.3) \). First, calculate the sum inside the parentheses: \( 8.5+18.3 = 26.8 \) cm. Then multiply by 2: \( 2\times26.8 = 53.6 \) cm.
(Diagram: Draw a rectangle, label the length as 8.5 cm and width as 18.3 cm, and draw the two lengths and two widths.)

Step1: Recall equilateral triangle perimeter formula

An equilateral triangle has all three sides equal. The formula for the perimeter \( P \) of an equilateral triangle is \( P = 3\times side \). Here, the side length \( s = 145 \) cm.

Step2: Substitute value into formula

Substitute \( s = 145 \) into the formula: \( P = 3\times145 \). Calculate the product: \( 3\times145 = 435 \) cm.
(Diagram: Draw a triangle with all three sides labeled as 145 cm, showing it is equilateral with three equal sides.)

Answer:

The perimeter of the rectangle is \( 53.6 \) cm.

Question 2: