Question

calculate the area of each of the following objects.
(a) 12 cm, 8 cm, a=
(b) 7.5 cm, 3 cm, a=
(c) 19 m, 6.5 m, a=
(d) 45\, 15\, 22\, a=
practice 1. calculate the area of each of the following objects.

Explanation:

Step1: Recall rectangle area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. For the rectangle in part (a) with $l = 12$ cm and $w = 5$ cm, we have $A=12\times5$.
$A = 60$ cm²

Step2: Recall triangle area formula

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$, where $b$ is the base and $h$ is the height. For the triangle in part (b) with $b = 7.5$ cm and $h = 3$ cm, we have $A=\frac{1}{2}\times7.5\times3$.
$A=\frac{22.5}{2}=11.25$ cm²

Step3: Recall parallelogram area formula

The area formula for a parallelogram is $A = b\times h$, where $b$ is the base and $h$ is the height. For the parallelogram in part (c) with $b = 19$ m and $h = 6.5$ m, we have $A=19\times6.5$.
$A = 123.5$ m²

Step4: Recall rectangle - combined area

For the combined - rectangle in part (d), we can consider it as one large rectangle with $l = 45$ inches and $w = 15$ inches. Using the rectangle area formula $A=l\times w$, we have $A = 45\times15$.
$A=675$ in²

Answer:

a) $60$ cm²
b) $11.25$ cm²
c) $123.5$ m²
d) $675$ in²