Question

A tabletop in the shape of a trapezoid has an area of 7,205 square centimeters. Its longer base measures 135 centimeters, and its shorter base is 85 centimeters. What is the height?

Answer 1

Given :

• Base = 135 cm and 85 cm.
• Area = 7205 cm².

To find :

• The height.

Solution :

We know,

`{\qquad \dashrightarrow{ \bf (1)/(2 ) * (b_(1) + b_(2)) * h = {Area_((Trapezoid)) } }}`

Now, Substituting the values :

`{\qquad \dashrightarrow{ \sf (1)/(2 ) * (135+ 85) * h =7205 {} } }`

`{\qquad \dashrightarrow{ \sf (1)/(2 ) * 220 * h =7205 {} } }`

`{\qquad \dashrightarrow{ \sf \frac{1}{ \cancel{2} } * \cancel{ 220} * h =7205 {} } }`

`{\qquad \dashrightarrow{ \sf 110 * h =7205 {} } }`

`{\qquad \dashrightarrow{ \sf h = (7205)/(110) {} } }`

`{\qquad \dashrightarrow{ \bf h =65.5 {} } }`

Therefore,

• The height of the tabletop in the shape of a trapezoid is 65.5 cm .