Question

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1- The area of a rhombus is 56m square. If its perimeter is 28m, find its altitude.
2- The side of a rhombus is a parrellelogram with all its sides equal, the formula for area. [ Hint. Since a rhombus is a parrellelogram with all its sides equal, the formula for area of a parrellelogram is applicable to it also. ​

Answer 1

Answer 1:-

• Area of rhombus = 56m²

• Perimeter = 28m

Note:- All sides of a rhombus are equal.

∴4a=56

∴a=14m

• Area of a rhombus = b×h

56=7×EC

$EC= \frac{56}{7}$

=8m

∴EC=altitude=8m

Answer 2:-

• You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

• If our rhombus only has the measurements for the diagonals, this is the formula we would use.

Answer 2

Question:-

1- The area of a rhombus is 56m square. If its perimeter is 28m, find its altitude.

2- The side of a rhombus is a parrellelogram with all its sides equal, the formula for area. [ Hint. Since a rhombus is a parrellelogram with all its sides equal, the formula for area of a parrellelogram isapplicable to it also.

Solution:-

Answer 1:-

Area of rhombus = 56m²

Perimeter = 28m

Note:- All sides of a rhombus are equal.

∴4a=56

∴a=14m

Area of a rhombus = b×h

56=7×EC

EC = 56/7

=8m

∴EC=altitude=8m

Answer 2:-

You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

If our rhombus only has the measurements for the diagonals, this is the formula we would use.