Question

Length of two adjacent sides of parallelogram are 2.8m and 2.6 metre. One of the diagonals is 3.0 metre find its area

Answer 1

Answer:

6.72

Step-by-step explanation:

area=b×h

=2.4×2.8

=6.72

hope it helps to you

Answer 2

The area of the parallelogram is 6.72 m².

Step-by-step explanation:

Consider the provided information.

Let us consider the length of AB = 2.8 m, BC = 2.6 m and AC = 3 m

Now find the area of the triangle ABC by using Heron's formula.

$s=\frac{a+b+c}{2}$

$s=\frac{2.8+2.6+3}{2}$

$s=4.2$

The area of the triangle is: $A=\sqrt{s(s-a)(s-b)(s-c)}$

Substitute the respective value in the above formula.

$A=\sqrt{4.2(4.2-2.8)(4.2-2.6)(4.2-3)}$

$A=\sqrt{4.2(1.4)(1.6)(1.2)}$

$A=\sqrt{11.2896}$

$A=3.36$

The area of the parallelogram is the twice of ΔABC.

Area of parallelogram = 2 × 3.36 = 6.72 m²

Hence, the area of the parallelogram is 6.72 m².

The lengths of two adjacent sides of parallelogram are 51cm and 37cm respectively. One of its diagnols is 20cm. Find the area of the parallelogram

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