Calculate the area of a rhombus of side 250mm and longer diagonal 400mm

Step-by-step explanation:

Refer to the imagine attached.

First of all, let's remember that in a rhombus diagonals are perpendicular to each other, and cut themselves in half. That allows us to focus on 1/4 of the figure (they gray shaded right triangle in my image.

By aplplying pythagorean theorem (or recognizing a 3-4-5 pythagorean triplet scaled up) you can compute the missing side as long, making the shorter diagonal long.

At this point you apply the rhombus area formula, with D and d being the two diagonals

(a bit less than a A4 sheet of paper)

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step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions