A rectangular garden is fenced on three sides with a wall forming the fourth side. The total length of the fence is 70 meters. The area of the garden is 600m^2. Find the dimensions of the garden

Question

Mathematics

Julia Leonard

30 January, 17:49

A rectangular garden is fenced on three sides with a wall forming the fourth side. The total length of the fence is 70 meters. The area of the garden is 600m^2. Find the dimensions of the garden

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Pennington · Answer 1

A Rectangle is a quadrilateral that has two sets of congruent sides.

(area of a rectangle, = base*height)

The fence (70m) consists of only 3 sides, two of which are congruent. Two factors of 600 equal the sum of the dimensions of the fence. Confused?

20 & 30 are factors of 600 (area)

20+20+30=70 (perimeter of fence only)

The garden, unlike the fence, includes the wall, which is equal to 30 (the side that's missing it's congruent piece)

100=20+20+30+30, these are the dimensions of the garden.