Question

Find the base and the height of a parallelogram if they are on a reason of 4:5 and the area is 2 1280 m .

Answer 1

Answer:

Let the base and height be x

then 4x,5x

Area of parallelogram = base ×height

21280 = 4x × 5x

21280 = 20x^2

21280/20 = x^2

1064 = x^2

x = 32.61

Base = 32.61 × 4 = 130.44

HEIGHT = 32.61 × 5 = 163.05

Step-by-step explanation:

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Answer 2

Correct Question:-

Find the base and the height of a parallelogram if they are on a reason of 4:5 and the area is 1280 m .

Answer:-

Let the ratio of base and height of a parallelogram be 4x and 5x respectively.

Given:-

Area of the parallelogram:- 1,280m

Base and height of the parallelogram:- 4x and 5x

Solution:-

We know that,

Formula for Area of the Parallelogram (when base and height are given) is :- base×height.

Area of the Parallelogram = 1,280m

base × height = 1,280m

4x × 5x = 1,280m

20x² = 1,280m

$\implies{\boxed {\tt {x^2= \dfrac{1280m}{20}}}}$

$\implies{ \boxed{\tt{x^2=64m}}}$

$\implies {\boxed {\tt{x= {\sqrt{64m}}}}}$

$\implies{\boxed {\tt{x= 8m}}}$

Base= 4x= 4×8m= 32m

Height= 5x= 5×8 = 40m

Hope it helps.