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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here is the answer its in the picture and it also has the solution in picture 2
Option C:
x = 30
Solution:
The given image is a triangle.
angle 1, angle 2 and angle 3 are interior angles of a triangle.
angle 4 is the exterior angle of a triangle.
m∠4 = 2x°,
, m∠3 = 20°
Exterior angle theorem:
<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>
By this theorem,
m∠4 = m∠2 + m∠3

Subtract
on both sides of the equation.

To make the denominator same and then subtract.


Multiply by
on both sides of the equation.
x° = 30°
x = 30
Hence option C is the correct answer.
It’s option D.) I did a quiz on this !