Question

Find the area of the quadrilateral EASY given in the adjoining figure.​

Answer 1

The area of quadrilateral EASY is 24 cm².

Step-by-step Step-by-step explanation:

Here's the required formula to find the area of quadrilateral EASY :

`\longrightarrow{\pmb{\sf{Area_((Quadrilateral)) = (d)/(2)\Big(h_1 + h_2\Big)}}}`

• 
  `\pink\star` d = 6 cm
• 
  `\pink\star` h₁ = 5 cm
• 
  `\pink\star` h₂ = 3 cm

Substituting all the given values in the formula to find the area of quadrilateral EASY :

`\longrightarrow{\sf{Area_(\tt(EASY)) = (d)/(2)\Big(h_1 + h_2\Big)}}`

`\longrightarrow{\sf{Area_(\tt(EASY)) = (6)/(2)\Big(5+3\Big)}}`

`\longrightarrow{\sf{Area_(\tt(EASY)) = \cancel{(6)/(2)}\Big( \: 8 \: \Big)}}`

`\longrightarrow{\sf{Area_(\tt(EASY)) =3\big( \: 8 \: \big)}}`

`\longrightarrow{\sf{Area_(\tt(EASY)) =3 * 8}}`

`\longrightarrow{\sf{Area_(\tt(EASY)) =24 \: {cm}^(2)}}`

`\star{\underline{\boxed{\sf{\red{Area_(\tt(EASY)) =24 \: {cm}^(2)}}}}}`

Hence, the area of quadrilateral EASY is 24 cm².

`\rule{300}{2.5}`