Question

the area trapezium is 480cm2, the distance between two parallel sides is 15cm and other one of the parallel side is 20cm.the other parallel side is​

Answer 1

Answer:

the area trapezium is 480cm2, the distance between two parall

Answer 2

Given :-

• Area of the trapezium is 480cm²
• The distance between the two parallel sides is 15cm
• One of the parallel sides is 20cm

Aim :-

• To find the other parallel side

Formula to use :-

$Area \: of \: a \: trapezium = \dfrac{1}{2} \times height \times (sum \: of \: parallel \: sides)$

• Let the other parallel side be x cm.
• The distance between the 2 parallel sides refer to the height of the trapezium

Substituting the values,

$480 = \dfrac{1}{2} \times 15 \times (20 + x)$

By transposing ½ to the other side,

$480 \div \dfrac{1}{2} = 15 \times (20 + x)$

$480 \times 2 = 15 \times (20 + x)$

Multiplying on both the sides,

$960 = 300 + 15x$

Transposing 300 to the other side,

$960 - 300 = 15x$

$660 = 15x$

Transposing 15,

$\dfrac{660}{15} = x$

Reducing to the lowest terms,

$44 = x$

Therefore the other parallel side is 44cm

Verification :-

Let us substitute the value of x as 44cm as verify the equation,

$480 = \dfrac{1}{2} \times 15 \times (20 + 44)$

By adding the terms inside the brackets,

$480 = \dfrac{1}{2} \times 15 \times 64$

Cancelling,

$480 = 15 \times 32$

When multipled the product is the same as the LHS (Left Hand Side),

Therefore,

LHS = RHS

Hence verified

Some more formulas :-

• Area of a triangle = ½ × Base × Height
• Area of a square = (side)²
• Area of a rectangle = Length × Breadth
• Area of a parallelogram = Base × Height
• Area of a rhombus = ½ × Diagonal 1 × Diagonal 2