Question

In a trapezoid of area 175 cm², the length of two parallel sides are in ratio 3:4. If the height of trapezoid is 10cm, the length of smaller of the two parallel sides is ___________ cm.
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Answer 1

Step-by-step explanation:

let sides be 3x & 4x

A.T.Q

area of trapezoid =sum of parallel side/2×height

175 =3x+4x/2×10

175×2=7x ×10

350/10=7x

35=7x

x=5

put X in supposed sides

3x=15

4x=20

Then length of smaller side is 15 cm

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