To find the longer side, use the Pythagoream theroem. 26m is the hypotenuse.
Pythagoream theorem: a² + b² = c² or c² - a² = b², in which "c" is the hypotenuse, and a and b can be used interchangeably.
c = 26
a = 10
b = b
Plug into corresponding areas.
c² - a² = b²
(26)² - (10)² = b²
Simplify.
26 x 26 = 676
10 x 10 = 100
676 - 100 = b²
b² = 576
Isolate the b. Root both sides
√b² = √576
b = √576
Simplify the root
b = √576
b = 24
The longer side of the rectangle = 24 m
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To find the perimeter, use the 2l + 2w = P formula.
w = width = 10
l = length = 24
P = perimeter
2(24) + 2(10) = P
Simplify
48 + 20 = P
Add
68 = P
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68 meters is your perimeter
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hope this helps
