The length of the rectangle was increased by 60%, and the width was decreased by 60%. how the area of the rectangle changed and by how many%
The area of a rectangle is the product of its length and width.
Let’s introduce variables.
Let m be the length, n the width of the rectangle. Then the area of the figure S is equal to:
S = m * n;
The new length is 1.6 * m;
The new width is 0.4 * m.
The new size of the area became equal to:
S2 = 1.6 * m * 0.4 * n;
S2 = 0.64 * m * n;
S2 / S = 0.64 / 1 = 0.64, which means that the area of the rectangle has become 36% smaller.
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