the length of a rectangle is increased by 15% and the width is decreased by 20% find the percentage change in the area of the rectangle.
Answer (1)
Answer:Let the original length and width of the rectangle be L and W, respectively.New length = L + 0.15L = 1.15LNew width = W - 0.20W = 0.80WOriginal area = L x WNew area = 1.15L x 0.80W = 0.92LWPercentage change in area = [(New area - Original area) / Original area] x 100= [(0.92LW - LW) / LW] x 100= [-0.08LW / LW] x 100= -8%Therefore, the area of the rectangle decreases by 8%.
