Question

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Answer 1

Answer:

dimensions of backyard is 62 × 44.

Step-by-step explanation:

given backyard is in rectangular shape.

let length = l and breadth = b

then, perimeter = 2 (l + b) = 212 feet ___(1)

and area = l×b = 2728 feet^2.____(2)

from (1) and (2) l + b = 106 which gives l = (106 - b)

and l×b = 2728 which means (106 - b) × b = 2728

106b - b^2 = 2728

b^2 - 106b + 2728 = 0

by solving the above equation we get b = 62 or 44

then l = 44 or 62 by substituting b in (2)

so, length is 62 feet and breadth is 44 feet.

dimensions of backyard is 62 × 44.

Answer 2

Solution:

Area=l×b.

2728=l×b.

l=b/2728.

Perimeter=2×l×b.

212=2×(b/2728)×b.

b^(2)/2728=106.

b^(2)=289168.

b=sqrt(289168)

=537.7 feet.

l=b/2728

=537.7/2728

=0.197 feet.

Answer:

537.7 feet and 0.197 feet.