Question

name: mid unit study guide

1. find the area.

a) 84 cm²
b) 84 cm

1. find the area.

a) 5 m²
b) incorrect wid

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Identify length and width

For the rectangle with length $l = 12$ cm and width $w = 7$ cm.

Step3: Calculate the area

$A=12\times7 = 84$ cm².

Step1: Recall area formula for trapezoid

The area formula for a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height. In this case, assume the parallel - sides are not given clearly, but if we consider it as a right - angled trapezoid and use the formula for the area of a right - angled trapezoid which can also be thought of as the average of the parallel sides times the height. Here, we can split it into a rectangle and a triangle. First, the area of the rectangle part with length 1.8 m and width 2.5 m is $A_{1}=1.8\times2.5 = 4.5$ m². The triangle part with base (assuming the non - parallel part related to the rectangle) and height. But if we use the formula $A=\frac{(a + b)h}{2}$, assume the parallel sides are 0 and some value related to the shape, a more straightforward way is to consider the right - angled trapezoid area as $A = \frac{(0 + 2.5)\times1.8}{2}=2.25$ m² (if we consider one of the parallel sides as 0 for a right - angled trapezoid case). However, if we assume it's a simple right - angled trapezoid and calculate the area as the product of the base and height of the rectangle part (a common way when the trapezoid is formed by adding a triangle to a rectangle), the area of the figure is $A = 1.8\times2.5=4.5$ m². But if we use the full trapezoid formula $A=\frac{(a + b)h}{2}$, assume $a = 0,b = 2.5,h = 1.8$, we get $A=\frac{(0 + 2.5)\times1.8}{2}=2.25$ m². Let's assume the figure is a right - angled trapezoid and calculate the area as the product of the base and height of the rectangle part (a more intuitive way in this case), the area $A = 1.8\times2.5 = 4.5$ m².

Answer:

84 cm²