The length of the inside of the garden is<u> 50 feet.</u>
What is perimeter ?
A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.
There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.
Given :
The rectangular garden has a perimeter of 280 feet
breadth = 90 feet
Let the length be x.
Therefore according to the question,
2( 90 + x ) = 280
=> 90+ x = 140
=> x = 50
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Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
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