Question

find the area of the figure below by first finding the areas of the rectangle and triangles.area of the rectangle: □ square unitsarea of the triangle on the top: □ square unitsarea of the triangle on the bottom: □ square unitsarea of the figure: □ square units

Explanation:

Step1: Measure rectangle dimensions

The rectangle has length $l=5$ units, width $w=3$ units.

Step2: Calculate rectangle area

Area formula: $A_{\text{rect}} = l \times w$
$A_{\text{rect}} = 5 \times 3 = 15$ square units

Step3: Calculate top triangle area

Triangle base $b=5$, height $h=2$. Area formula: $A_{\text{tri}} = \frac{1}{2} \times b \times h$
$A_{\text{top tri}} = \frac{1}{2} \times 5 \times 2 = 5$ square units

Step4: Calculate bottom triangle area

This triangle matches the top one, so $A_{\text{bottom tri}} = 5$ square units

Step5: Sum areas for total figure

$A_{\text{total}} = A_{\text{rect}} + A_{\text{top tri}} + A_{\text{bottom tri}}$
$A_{\text{total}} = 15 + 5 + 5 = 25$ square units

Answer:

Area of the rectangle: 15 square units
Area of the triangle on the top: 5 square units
Area of the triangle on the bottom: 5 square units
Area of the figure: 25 square units