Answer:
The area of quadrilateral EASY is 24 cm².
Step-by-step explanation:
Here's the required formula to find the area of quadrilateral EASY :
[tex]\longrightarrow{\pmb{\sf{Area_{(Quadrilateral)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}}[/tex]
- [tex]\pink\star[/tex] d = 6 cm
- [tex]\pink\star[/tex] h₁ = 5 cm
- [tex]\pink\star[/tex] h₂ = 3 cm
Substituting all the given values in the formula to find the area of quadrilateral EASY :
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{6}{2}\Big(5+3\Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \cancel{\dfrac{6}{2}}\Big( \: 8 \: \Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3\big( \: 8 \: \big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3 \times 8}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =24 \: {cm}^{2}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Area_{\tt(EASY)} =24 \: {cm}^{2}}}}}}[/tex]
Hence, the area of quadrilateral EASY is 24 cm².
[tex]\rule{300}{2.5}[/tex]
