Question

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Half the perimeter of a rectangular garden, whose
length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
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Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.


Answer give maths experts​

Answer 1

Here is your Answer,

Perimeter of rectangle = 2(l+b)

Given,

• Half perimeter of rectangular garden = 36m
• Let width = x m

Now according to Question

• Length = x+4 m

Half perimeter of rectangular garden = 1/2×2(l+b)

=> 1/2×2(x+4+x) = 36 m

=> 2x+4 = 36 m

=> 2x = 32 m

=> x = 16 m

Now , dimensions are

Length = x+4 = 16+4 = 20m

Width = x = 16 m.