Question

15 an l - shaped tank has corners plotted at a(0,0), b(4,0), c(4,2), d(2,2), e(2,4), f(0,4). use the coordinate plane to find the perimeter of the l - shaped tank. a 16 units b 18 units c 20 units d 14 units

Explanation:

Step1: Calculate length of AB

Use distance formula for points A(0,0) and B(4,0). Since y - coordinates are same, length $AB=\vert4 - 0\vert=4$.

Step2: Calculate length of BC

For B(4,0) and C(4,2), x - coordinates are same, length $BC=\vert2 - 0\vert = 2$.

Step3: Calculate length of CD

For C(4,2) and D(2,2), y - coordinates are same, length $CD=\vert4 - 2\vert=2$.

Step4: Calculate length of DE

For D(2,2) and E(2,4), x - coordinates are same, length $DE=\vert4 - 2\vert = 2$.

Step5: Calculate length of EF

For E(2,4) and F(0,4), y - coordinates are same, length $EF=\vert2 - 0\vert=2$.

Step6: Calculate length of FA

For F(0,4) and A(0,0), x - coordinates are same, length $FA=\vert4 - 0\vert = 4$.

Step7: Calculate perimeter

Perimeter = $AB + BC+CD + DE+EF + FA=4 + 2+2 + 2+2 + 4=16$.

Answer:

A. 16 units