Question

the area of trapezium is 475 CM square and the height is that 19 cm find the length of its two parallel sides in one side is 4 cm greater than the other

Answer 1

Hope this helps you....✌

Answer 2

$\textbf {Hey there, here is the solution.}$

.............................................................................................

STEP 1: Define x:

Let one of the parallel line be x

The other parallel line = x + 4

.............................................................................................

STEP 2: Form the equation:

Area of Trapezium = 1/2 (a + b) h

1/2 (x + (x + 4) ) (19) = 475

.............................................................................................

STEP 2: Find x:

1/2 (x + (x + 4) ) (19) = 475

1/2 (2x + 4)(19) = 475

19x + 38 = 475

19x = 437

x = 23

.............................................................................................

STEP 3: Find the length:

one parallel line = x = 23 cm

The other parallel line = x + 4 = 23 + 4 = 27 cm

.............................................................................................

Answer: The other parallel side is 23 cm and 27 cm

.............................................................................................

⭐$\textbf {Cheers}$⭐