A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres?
1 answer:
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Answer:
71
Step-by-step explanation:
<u>refer</u><u> </u><u>the</u><u> attachment</u>
to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that <u>tangents </u><u>which</u><u> </u><u>meet </u><u>at</u><u> the</u><u> </u><u>same</u><u> </u><u>point</u><u> </u><u>are </u><u>equal</u><u> </u><u> </u>that is being said
- FA=AI=17
- CH=CG=2.5
since and it's given that FA and BA are 17 and 29 FB should be
therefore,
once again by two tangent theorem we acquire:
As BC=BH+CH,BC is
- 12+2.5
likewise,AD=AI+DI so,
- 21=17+DI [AD=21(given) and AI=17 (by the theorem)]
thus,
- DI=21-17=
By the theorem we obtain:
- DI=DG=4
Similarly,DC=DG+CH therefore,
- DC=4+2.5=
Now <u>finding</u><u> </u><u>the</u><u> </u><u>Perimeter</u><u> </u><u>of </u><u>ABCD</u>
substitute what we have and got
simplify addition:
hence,
the Perimeter of ABCD is <u>7</u><u>1</u>
