Answer:

420m²

Step-by-step explanation:

According to the Question, the floor of an exhibition hall is covered by 4 rectangular carpet. So, the

Area of Exhibition Hall = Area of 4 rectangular carpet

So, we need to find the areas of all carpets,

Given, three carpet have dimension 10 m ×8m each.

So, Area of 1 Capet = l x b = 10m x 8m = 80m²

∴ Area of 3 carpets = 3 x 80 m² = 240m²

And, the fourth carpet has dimension of 15 m by 12m

So, area of 4th carpet = l x b = 15m x 12m = 180m²

Now,

Area of Exhibition Hall = Area of 3 rectangular carpet + Area of 4th rectangular carpet.

Area of Exhibition Hall = 240m² + 180m²

Area of Exhibition Hall = 420m²

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Verified answer

[tex] \sf{Given:}[/tex]

• The floor of an exhibition hall is covered by 4 rectangular carpet.

• The dimension of three carpets = 10m x 8m

• The fourth carpet has dimensions =15m by 12m

Required: Find the area of the exhibition hall.

[tex] \sf{Explanation:}[/tex]

According to the question,

Area of exhibition hall = Area of 4 rectangular carpets

To find the areas of all carpets.

The area of 1 carpet is given by:

Area of 1 carpet = 1 × b = 10m x 8m 80m²

The area of the 3 carpets is given by:

Area of 3rd carpet = = 240m² = 3 x 80m²

The fourth carpet has dimensions of 15 m by 12m.

The area of the fourth carpet = 15m x 12m = 180m²

Area of Exhibition hall = Area of 3 rectangular carpets + Area of 4th rectangular carpet.

Area of Exhibition hall on hall = 240m² + 180m² = 420m²

Thus, the area of the exhibition hall is 420m²