Tutorial Exercise The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 10 cm and the width is 5 cm, how fast is the area of the rectangle increasing (in cm2/s)? Step 1 Let l and w represent the length and width of the rectangle in cm, and let A represent the area of the rectangle in cm2. Writing an equation for A in terms of l and w gives the following result. A =

step-by-step explanation:

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step-by-step explanation:

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the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

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