Question

chapter 5 assignment

1. find the area of the square.
2. find the area of the triangle.
3. find the area of the rectangle.

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = s^2$, where $s$ is the side - length. Given $s = 14.3$ cm.
$A_{square}=14.3^2$

Step2: Calculate the area of the square

$A_{square}=14.3\times14.3 = 204.49$ $cm^2$

Step3: Recall area formula for triangle

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. Given $b = 6$ cm and $h = 5$ cm.
$A_{triangle}=\frac{1}{2}\times6\times5$

Step4: Calculate the area of the triangle

$A_{triangle}=15$ $cm^2$

Step5: Recall area formula for rectangle

The area formula for a rectangle is $A = lw$, where $l$ is the length and $w$ is the width. Given $l = 8$ cm and $w = 4.5$ cm.
$A_{rectangle}=8\times4.5$

Step6: Calculate the area of the rectangle

$A_{rectangle}=36$ $cm^2$

Answer:

Area of the square: $204.49$ $cm^2$
Area of the triangle: $15$ $cm^2$
Area of the rectangle: $36$ $cm^2$