Question

Find the sum of the lengths of the bases of a trapezium whose area is 4.2m sq. and whose height is 280cm.​

Answer 1

Solution :-

Given,

Area of trapezium = 4.2 m²

Height = 280 cm

= 2.8 m

Sum of lengths = 2 × 4.2 / 2.8

= 3 m

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Answer 2

$\large{\underline{\boxed{ Given}}}$

Area of trapezium =

$4.2 {m}^{2}$

Height of trapezium = 280 cm or 2.8m

$\large{\underline{\boxed{To find}}}$

Sum of the lengths of bases of trapezium

$\large{\underline{\boxed{Solution}}}$

The area of trapezium is given by :-

$\boxed{\sf{A . of trapezium =\frac{1}{2} \times sum \: of \: parallel \: side \: \times h }}$

$\frac{4.2 \times 2}{2.8} = sum \: of \: parallel \: side$

sum of parallel side = 3 cm

hence, sum of length of bases = 3 m