A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 6 in. by 8 in. The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing. (a) What is the perimeter of the drawing? Show your work.

(b) What is the perimeter of the actual flower bed? Show your work.

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work.

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Step-by-step explanation:

we have

length =8in

breadth =6in

since . The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.

new

length=8×24=192in

breadth =6×24=144in

(b) What is the perimeter of the actual flower bed ? Show your work.

the perimeter of the actual flower bed =2(l+b)

=2(l+b)=2(192+144)=672in

(a) What is the perimeter of the drawing? Show your work

answer : the perimeter of the drawing

=2(8+6)=96in

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work

perimeter of flower bed /perimeter of drawing

=96/672=1/7

Length of drawing = 8in.

Width of drawing = 6in.

Actual length of flower bed = (8 × 24) = 192in.

Actual width of flower bed = (6 × 24) = 144in.

[a] Perimeter of drawing = 2(l + b)

= 2(8 + 6) = 2 × 14 = 28in.

[b] Perimeter of actual flowerbed = 2(l + b)

= 2(192 + 144) = 2 × 336 = 672in.

[c] The perimeter of the actual flower bed is 24 times the perimeter of drawing.