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Hiyaa! I'm Nat and I'm gonna help you!

Now, the answer is 1614 units². But how'd we get that answer?

Well.

112×(50+71)x28 is the area of the lawn

Now.if your looking for the area of the deck,its

10×8. Which is 80.

So 1614 units²

Now all we need to do is subtract the area of the deck by the lawn.

The area of the lawn is 1/2×28×21 subtracted by 80 which is 214

Extra info:

We need to find the  area of the Trapezoid lawn that is: 1/2 × (50 + 71) × 28 = 1/2 × 121 × 28 = 121 × 14 = 1694 Then , we find area of the deck that is, = 10 × 8 = 80 And at last area of the lawn without deck would be : = Area of the lawn - Area of the deck. Now we need to subtract. so 1694-80= 1614 :D

Thank you to: Windowsssssssssssss,tanmayakumarp3 and AncientEnigma29. I couldnt have dont this without you <3

Solution:

Step-1: Divide the lawn into two shapes (Triangle and rectangle).

  • Area of lawn - Area of deck = Area of lawn (Without deck)
  • (Area of triangle + Area of rectangle) - (8 x 10) = Area of lawn (Without deck)

Step-2: Solve.

  • (1/2 x 21 x 28 + 1400) - 80 = Area of lawn (Without deck)
  • => (21 x 14 + 1400) - 80 = Area of lawn (Without deck)
  • => (294 + 1400) - 80 = Area of lawn (Without deck)
  • => (1694) - 80 = Area of lawn (Without deck)
  • => 1614 units² = Area of lawn (Without deck)

The area of the lawn (Without deck) is 1614 units².

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