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Dr. James property is shaped like an isosceles trpaezoid. Dr. James gave the contractor the following measurements, so that the contractor can build a wall around the entire property: base 1 = (2x - 5)km, base 2 = (x + 7)km and a median of 7km and its leg measures is 6km,
What is the perimeter of the lot?
A. 20km
B. 22km
C. 24km
D. 26km

Sagot :

MASKIE87IN

Answer:

C.24km

Step-by-step explanation:

base-1=(2x-5)KMx

base-2=(x+7)kmx

=24km

[tex]\large \red { \boxed{{ \colorbox{black}{✏SOLUTION}}}}[/tex]

[tex] \bold{Median \: of \: trapezoid}[/tex]

[tex] ✏ \large \bold{ \: \frac{2x \: - \: 5 \: + \: \times \: + \: 7}{2}} \: = \: 7 [/tex]

[tex] \large \bold{✏ \: x \: = \: 4}[/tex]

  • [tex] \bold{Base \: 1 \: = \: 2 \: \times \: 4 \: - \: 5 \: = \: 3 \: km}[/tex]
  • [tex] \bold{Base \: 2 \: = \: 4 \: + \: 7 \: = \: 11 \: km}[/tex]

[tex] \bold{Perimeter \: = \: 3 \: + \: 11 \: + \: 6 \: + \: 6 \: = 26km}[/tex]

Therefore, Option(D. 26km) makes the answer.

[tex] \large{ \boxed{ \bold{Perfect \: ❤}}}[/tex]

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