Question

the area of parallelogram is 338m sq. if its altitude is twice the corresponding base determine the base and height.

Answer 1

area of parellalogram = 338 cm²

let the base be x
altitude = 2x

therefore,

x × 2x = 338
2x² = 338

${x}^{2} = \frac{338}{2}$
x² = 169

x = √169

x = 13

base = x = 13cm
altitude = 2x = 2 × 13 = 26cm

Answer 2

Hey there
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Let b be the base and h be the height / attitude of the ||gram

Given that -

Base , b = b

then altitude , h = 2b

We know area of parallelogram
-------------------------------------------

B × H = 338 m²

= B × 2 B = 338

= 2B² = 338

= B² = 169

= B = √169

= B = 13 cm


Hence

Base = 13 cm
and

the attitude , 2 B = 2 × 13 = 26

Hope this would help you !!