Answered

11-15. The area of a parallelogram varies jointly as its base and height. If the area of parallelogram
measures 84 cm?, its height measures 7 cm and its base measures 6 cm, how long is the measure of
its height if it has an area of 64 cm² and a base of 4 cm?

Sagot :

BEDRABARBARA64GO

Answer:

Step 1: Formula.

[tex]a = kbh\\a =area, k = constant, b = base, h = height[/tex]

Step 2: Find the constant.

[tex]a = kbh\\84 = k(6)(7)\\84 = 42k\\\frac{84}{42} = \frac{42k}{42}\\k = 2[/tex]

[tex]Constant (k) = 2[/tex]

Step 3: Find the height.

[tex]a = kbh\\64 = (2)(4)(h)\\64 = 8h\\\frac{64}{8}= \frac{8h}{8} \\h = 8[/tex]

Therefore, height is equal to 8cm when the parallelogram has an area of 64cm^2 and a base of 4cm.

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