Question

The ratio of the altitude to that of base of a parallelogram is 1:3 .if the area of the parallelogram is 48cm square find the measure of the base and the altitude

Answer 1

Answer:

$\huge{\pink{\green{\mathsf{ALTITUDE=4cm}}}}$

$\huge{\pink{\green{\mathsf{BASE=12cm}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\mathsf{SOLUTION-}}}}}}$

$\: \: \: \: \: \: \: \: { \orange{given}} \\ { \pink{ \green{ratio = \frac{ALTITUDE}{BASE} = \frac{1}{3} }}} \\ { \pink{ \green{LET\:ALTITUDE = x }}} \\ { \pink{ \green{LET\:BASE = 3x }}} \\ { \pink{ \green{AREA= 48cm^{2} }}} \\\\ { \blue{to \: find}} \\ { \purple{ \red{ ALTITUDE =? }}} \\ { \purple{ \red{ BASE = ?}}}$

According to the given question:

$\to Area \: of \: parallelogram = 48 {cm}^{2} \\ \to base \times height = 48 \\ \to 3x \times x = 48 \\ \to 3 {x}^{2} = 48 \\ \to {x}^{2} = \frac{48}{3} \\ \to x = \sqrt{16} \\ \to x = 4cm \\ { \pink{ \green{ \therefore ALTITUDE = x = 4}}} \\ { \pink{ \green{ \therefore BASE = 3x = 12}}}$

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